Leicester started brightly but Palace's January signing Michy Batshuayi scored against the run of play in the 40th, deflecting in a shot from James McArthur to give Hodgson's side a halftime lead. Evans leveled by turning in a cross from close range in the 64th, but Zaha restored the lead when he met McArthur's cross at the back post and volleyed past Kasper Schmeichel. Luka Milivojevic netted the third from the penalty spot in the 81st after Evans brought down Jeff Schlupp, and Zaha padded the scoreline after an assist from Jordan Ayew.
The win helps ease Palace's relegation fears and lifts it six points outside the drop zone, just two points behind 12th-place Leicester. At 71 years and 198 days, Hodgson surpassed Bobby Robson as the oldest manager in Premier League history, a mark that had stood since August 2004. Manchester United's Alex Ferguson was 71 years and 139 days when he took charge of his last game before retiring in 2013.
More AP soccer: https://apnews.com/apf-Soccer and https://twitter.com/AP_Sports