The 25-year-old has opted to leave Borussia Monchengladbach after six years with the Bundesliga outfit, having previously been with Arsenal as a youngster, although he didn’t make a first-team appearance for the Gunners.
And Nordveidt is excited about his summer return to England, with the Hammers playing at the Olympic Stadium for the first time next season.
He told his new club’s official website: “It has always been a dream for me to play in the Premier League and now I have a big opportunity to do it with West Ham. I can’t wait to start.
“This team has something special and there’s something in the spirit of it that I can fit into. I’m going to work hard and hopefully I can have some good moments with the club.”
Meanwhile, Hammers boss Slaven Bilic admitted that he and his players will be cheering Manchester United on in the FA Cup final, with a Red Devils win over Crystal Palace meaning that the Irons will gain a place in the Europa League.
He said: “Of course we want them to win, so for those 90 minutes that would probably be right – we will be Manchester United fans, hoping they win the game.
“I think we really deserve to be in Europe, given the way we have played this season.”
United can be backed at 4/11 to lift the FA Cup, with the Eagles available at 9/4, while the Red Devils are 8/1 to win 2-1 in normal time.
Bilic also confirmed that the foot injury which kept Dimitri Payet out of the 2-1 defeat at Stoke City on Sunday was nothing too serious, with Euro 2016 just around the corner.
The Croatian added: “It is not serious, but it was serious for this game.
“It happened in the beginning of the game against Manchester United and he tried to put his boot on yesterday and it was really painful. It is a dodgy spot and it was impossible for him to play.”