Shakespeare assumed a caretaker role in February after Claudio Ranieri, who led Leicester to a stunning Premier League title triumph in 2015-16, was dismissed with the club mired in relegation trouble.
Wenger has until Friday to respond to the charge.
Mourinho singled out midfielder Nemanja Matic, who created the first goal for Romelu Lukaku and added the second himself with a late header, as one of the few players he was satisfied with.
Manchester United manager Jose Mourinho unleashed an impassioned defence of his work on Friday as he responded to critics of his team's failure to make the last eight of the Champions League.
With dreams of European glory in tatters, Manchester United, Chelsea and Tottenham Hotspur turn their attention to the FA Cup quarter-finals this weekend clinging to their last chance of silverware this season.
Liverpool went into last Sunday's Merseyside derby on the back of five wins from their previous six league games but were held to a 1-1 draw at Anfield by Everton and then to a goalless stalemate at home against West Bromwich Albion on Wednesday.
Belgium have retained injured Vincent Kompany in their final World Cup squad but put fellow defender Laurent Ciman on standby in case the Manchester City skipper is not fit for their opening match in Russia.
Tottenham fell to seventh after winning just one league game in November but have since recovered with a morale-boosting Champions League victory over APOEL Nicosia, followed by two consecutive domestic wins to climb back into the top four.
'Yes, I was sure this was the right decision. We brought Roberto Firmino on for Mo Salah. We could have scored before, we could have scored afterwards, we could have scored all the time. We lived more or less in their box'
The last three league meetings between the two sides, including October's game at Anfield, have ended in draws but Lovren said Liverpool were intent on coming away with all three points on Saturday.
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Images from the English Premier League matches played on Saturday
News of all that's transpired on and off the football field
Manchester City claimed the win required to finally end Liverpool's relentless attempt to dethrone them as Premier League champions as they hit back from a goal down to crush Brighton and Hove Albion on the south coast on Sunday.
David Silva scored a late goal as runaway leaders Manchester City won their 13th successive Premier League game and restored their eight-point lead with a 2-1 victory against West Ham United on Sunday.
News of all that's transpired on and off the football field.
As the highly-anticipated derby got underway, Brighton allege that a small number of Palace supporters showed up without tickets and tried to force their way into the away end of the stadium.
Mohamed Salah was inevitably on the scoresheet as Liverpool took full advantage of the inactivity of their top-four rivals to thrash West Ham United 4-1 at Anfield and provisionally move into second in the Premier League.
Hazard's dribbling and movement, on and off the ball, constantly posed questions for the Liverpool defence and the winger, who was so central to Chelsea's title triumph last year, certainly looks back up to full speed.
The West Bromwich Albion striker was dismissed for elbowing Matthew Lowton after scoring the decisive goal in Albion's 1-0 victory.
However, experienced goalkeeper Joe Hart and Arsenal midfielder Jack Wilshere were both omitted from a squad announced on Wednesday via a social media video featuring young recreational players from around the country shouting out the names.
Records fell on the final day of the Premier League season on Sunday as Manchester City beat Southampton 1-0 to become the first team to reach 100 points and Mohamed Salah established a new Premier League goalscoring mark as Liverpool clinched a top-four spot.
Defeat always seemed likely for West Brom, who are bottom of the Premier League and sacked their chairman and chief-executive on Tuesday.
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Manchester United and Tottenham Hotspur are second and third respectively, a point ahead of Antonio Conte's men.
News of all that's transpired on and off the football field
IMAGES from the EPL match played between Chelsea and West Brom at Stamford Bridge in London on Monday
News of all that's transpired on and off the football field
Bernardo Silva has made an encouraging start to the Premier League campaign and the Manchester City midfielder said that feeling more settled at his second season with the champions was a key factor in his performances.
News of all that's transpired on and off the football field
West Bromwich Albion, who have not won a Premier League game since the middle of August, will be facing the best team in Europe when they take on Manchester City on Saturday, manager Tony Pulis said.
Pep Guardiola has criticised the weight of the match ball used in the League Cup after his team failed to score in their fourth round match against Wolverhampton Wanderers and won 4-1 on penalties.
Swansea went ahead five minutes before the break when an attempt to clear by Liverpool's 75 million pounds ($104.88 million) defender Virgil Van Dijk landed at the feet of Mawson who swept the ball home for his sixth league goal this season.
Striker Glenn Murray scored a brace and Jose Izquierdo curled in a shot from outside the box to lift promoted Brighton to 10th in the standings, leaving West Ham in 17th just above the relegation zone.
The dynasty will only be built on European success, though, and after the quarter-final exit to Liverpool, Manchester City's owners, who want a gilded continental powerhouse to match United's global lustre, will demand it and back those demands with huge funding.
IMAGES from the English Premier League matches played on Wednesday
Former Cup winners Coventry, now plying their trade in the bottom division of the Football League, revived memories of happier times as Jordan Willis and Jack Grimmer scored the goals in a 2-1 victory at the Ricoh Arena.
Arsenal kept up their 100 percent home record this season with a 2-0 win over West Bromwich Albion in the Premier League on Monday, with new club record signing Alexandre Lacazette grabbing both the goals.
Brighton and Hove Albion's Tomer Hemed grabbed the only goal as they ended Newcastle United's three-match winning streak with a 1-0 victory on Sunday in a battle between two of this season's promoted sides.
Michael Carrick and Ander Herrera have hardly featured in Manchester United's early Premier League campaign but manager Jose Mourinho has assured the duo they are vital to his plans.