Manchester United manager Sir Alex Ferguson criticised West Ham United for their aggression and claimed Andy Carroll should have been sent off after his side drew 2-2 at Upton Park.
Van Persie earned United a share of the spoils when he fired into the roof of the net after Kagawa's shot hit both posts and rebounded to the Dutch forward, who looked to be in an offside position.
It was another disappointing night for Wayne Rooney, who looks to be heading towards the Old Trafford exit door this summer.
Manchester City made it five wins from their last six matches when Argentina forward Carlos Tevez lashed into the top corner in the 83rd minute for a 1-0 win over Wigan.
Brazilian defender David Luiz marked his 100th Chelsea appearance by opening the scoring in the 30th minute against Fulham with a superb long-range strike.
Chelsea climbed to third place in the table as John Terry's double inspired a 3-0 win at west London neighbours Fulham.