The striker told the club's official website: "I'm so happy that we are safe because this club, the fans and everyone deserves to be in the Premier League".
In United's first game since legendary former manager Alex Ferguson had to have emergency surgery on a brain haemorrhage, the visiting fans showed their support to the 76-year-old Scot with persist chants of "we all love Alex Ferguson".
Moyes is still expected to hold talks with West Ham officials early next week to discuss his future, though it appears the club will decide not to extend Moyes' contract.
Survival was only mathematically secured last weekend and West Ham remain in lowly 15th place.
West Ham had secured safety last week itself, while the Red Devils needed merely one point to secure a second spot finish, focusing more on the FA Cup final awaiting them.
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"Having each managed both clubs, I think both David and Sam will want to win this game, if nothing else but to prove a point to those who doubt them".
"It's a big achievement for us", insisted West Ham manager David Moyes of keeping his side in the top flight.
"We played very well and overall we deserve this point".
Mark Arnautovic was the sole bright spot for David Moyes' team, regularly beating his man easily but found himself isolated too often and David de Gea wasn't truly tested over the course of 90 minutes.
Speaking after the game against West Ham.
And the game was reflective of an end-of-season affair, with the only moment of note in the later stages being a confrontation between both sets of players following Pogba's foul on Noble. Noble reacted furiously to a late tackle by midfielder Pogba and was lucky not to get sent off for his wild reaction.