West Ham's decision comes after top-flight rivals Southampton struck a similar deal with their players as Premier League clubs wrestle with the financial fallout of the coronavirus.
The Premier League has called on players to take a 30-percent pay cut across all clubs but the players' union has argued that that would have a negative impact on tax contributions to Britain's health service.
Son Heung-min converted the decisive penalty with just two minutes left as Tottenham secured a 3-2 win against Southampton in Wednesday's FA Cup fourth-round replay.
Southampton held Tottenham Hotspur to a 1-1 draw while West Ham bowed out of the FA Cup after being beaten 1-0 by West Bromwich Albion.
Jose Mourinho was questioned about Harry Kane and his answer suggested there could be some doubt over the 26-year-old's participation at Euro 2020.
Chelsea and Manchester United secured comfortable wins in the race for the Premier League top four.
There was little response from Jose Mourinho's men as they slipped six points behind fourth-placed Chelsea.
Chelsea have now lost to West Ham, Bournemouth and Southampton in their last four home league games.
Premier League: Fourth placed Chelsea will take on Southampton at Stamford Bridge on Friday.
Premier League: Leicester closed the gap on Premier League leaders Liverpool as Jamie Vardy extended his red-hot streak with a brace in record-breaking 4-1 rout of Aston Villa.
Liverpool showed once again why they are kings of the late winner at Crystal Palace on Saturday.
Liverpool staged a thrilling fightback to beat Aston Villa 2-1 and preserve their unbeaten league record this season in dramatic fashion.
Sergio Aguero equalised for Manchester City before Kyle Walker became the unlikely goal scoring hero in the closing minutes.
Sergio Aguero holds the key to Manchester City's bid to overhaul Premier League leaders Liverpool.
Premier League: Southampton players and coaching staff have decided to donate their wages from the match which they lost 0-9 to Leicester City last Friday.
Southampton vs Leicester: The rout equalled Manchester United's 9-0 demolition of Ipswich at Old Trafford in March 1995.
Southampton vs Chelsea: Tammy Abraham and Mason Mount helped Chelsea to a 4-1 drubbing of Southampton in Premier League.
Tottenham had won just two of their opening eight games of the season and needed to make a statement after crashing out of the League Cup to fourth-tier Colchester on Tuesday.