Martial, who has scored four goals in 16 appearances so far this season, was a notable omission as United beat Crystal Palace 2-1 on Wednesday.
And Le10Sport understand that Martial, who arrived at Old Trafford back in September 2015 from Ligue 1 outfit Monaco in a deal worth up to a reported £57.6m, is wanted by the Hammers should United firm up their interest in midfielder Payet.
West Ham have made a slow start to the league campaign and currently occupy 15th in the Premier League table, four points above the relegation zone.