Manchester United won 2-1 at Crystal Palace to consolidate fourth spot.
City, who have a 16-point lead, can win the Premier League title with a victory over Jose Mourinho's side at the Etihad Stadium on Saturday, but after their 3-0 loss to Liverpool in the Champions League on Wednesday, Guardiola said the players needed a lift.
Images from the English Premier League matches played on Monday
Images from the English Premier League matches played on Wednesday
Jonatan Soriano's love affair with the Europa League continued as last season's top scorer grabbed a hat-trick on Thursday to help Salzburg become one of four teams to reach the knockout stages.
First-half goals by Danny Welbeck and Alex Iwobi earned Arsenal a first win in four league games to revive their Premier League title hopes in the early kickoff at Goodison Park on Saturday.
Tottenham Hotspur fluffed their last-day lines with a 5-1 defeat at relegated, 10-man Newcastle United that left them third in the Premier League behind bitter north London rivals Arsenal.
News of all that's transpired on and off the football field
Images from the English Premier League matches played at Old Trafford on Saturday
Following is a match by match look at the English Premier League's season-opening weekend fixtures:
De Boer, who lasted only 77 days as Crystal Palace manager after losing his first four league games in charge with no goals scored, said in an interview on BT Sport that it was "a pity" Mourinho was Rashford's manager because he was not getting enough chances.
Veteran Drogba showed that he still has a lot of steam in him as he scored in Chelsea's win over Spurs, while Aguero continued to top the goal-scorers' list this season, finding the net for City. Images from the EPL matches played across England on Wednesday.
Danny Rose scored a second-half equaliser to cancel out James Milner's penalty as Tottenham Hotspur came from behind to draw 1-1 with Liverpool at White Hart Lane on Saturday.
Rediff.com brings a preview of the main matches coming up this weekend in the English Premier League.
Manchester City returned to the Premier League summit for the first time since January with a 3-2 win at Everton on Saturday that left them six points from a second title in three seasons.
Arsenal and Manchester City meet at The Emirates on Saturday when both teams will seek to roar into life after making spluttering starts to their Premier League campaigns.
Dejan Lovern talks about his ambition to become a Liverpool legend at Anfield and why victory in the Merseyside derby against Everton could propel Reds' chances this season.