"I thought the crowd were fantastic, so all the negatives I've heard about the crowd, I thought the opposite and that they were great, they really were," Moyes told reporters after the match.
"I think any player will tell you that West Ham has always been a tough place to come over the years, with a tough crowd and they can make it that way in this stadium as well, and I think they did tonight.
"I thought they got right behind the players, but I also thought the players gave them something to shout about as well. It was a start for us tonight."
West Ham halted a two-game losing streak but the club remains in the relegation zone and Moyes believes there is still much room for improvement.
"We've learnt that we can run and they have now set the standard and cannot go below that," the former Everton and Manchester United boss added.
"Even then, we only got a draw, so we'll need to play better with the ball when we get it and at least keep those levels up if we are going to take something from every game."
(Reporting by Aditi Prakash in Bengaluru, editing by Nick Mulvenney)
