England global Rashford has been used on the left wing for a majority of the campaign and has scored six goals in 33 league appearances for United but media reports have linked the 20-year-old with a loan move next season to gain experience.
Hammers boss and former United chief Moyes said after the game: "We were all shocked and saddened to hear of the news about Sir Alex".
The Austrian global is also determined to finish the season on a good note when West Ham host Everton on Sunday.
"We don't celebrate second position but we are happy because for a few months, we realised it was impossible to win the league and, of course, the target is the second position".
"We hope he can play the final".
"Now we have the objective to finish with more than 80 points", Mourinho added.
'It's hard to watch' - Jamie Redknapp hammers Manchester United under Jose Mourinho
The point means United are ensured of finishing second behind runaway champion Manchester City, while David Moyes' West Ham remained in 15th place - but just two points from 10th with one game remaining.
"I've played with some world-class players, some of the best that's played the game, but Scholesy was just something else".
A late flashpoint was the main talking point of a forgettable evening as Mark Noble and Paul Pogba clashed following a trip from the Manchester United man. That is specifically the point of concern for the Portuguese, and he thinks that the team should have played in a similar way when they faced the bottom half clubs.
"I do not for one minute think that City will have it all their own way next season in terms of the title race. We have done the job we came to do - we are not relegated". We wanted to win and we want to move up the league if we can, but it's a good extra point.
"Criticising Manchester United has been all too easy this season" Crouch writes.
Jose Mourinho insisted his side had played well despite another below-par showing in their stalemate at West Ham.