And while he said United had been the ones pushing for three points at the London Stadium, he admitted having the point the club needed to secure second spot in the Premier League became a factor as the game wore on.
Mourinho has admitted his squad needs improvement, but Merson believes he should be more anxious about players wanting to leave Old Trafford.
A furious late spat between Hammers skipper Mark Noble and United's Paul Pogba, which led to a mass altercation between opposing players, will capture most of the headlines after a largely lifeless contest.
The Red Devils then turn their attentions to a FA Cup final showdown against Chelsea on May 19.
"They look petrified. I watch Man City play, Liverpool play, Tottenham play - they have passages of play where it looks like they're trying to do something in that game".
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It looks like there's a plan.
After the game, he said: "I was watching images and Paul and Noble looked in love". It's different at Manchester United - everyone is standing still, everyone just passes the ball - there is no movement.
However, they are likely to be very active in the summer transfer window as Mourinho looks to assemble a squad capable of winning the Premier League title next season.
"I think we need both things [more quality and a better mindset] that you mentioned". "I play [Sergio] Romero, I play Daley Blind, I play [Eric] Bailly, I play Rashford, I play Martial, I play [Juan] Mata, but I have every player apart from [Marouane] Fellaini and [Romelu] Lukaku available and I don't go to the young players".
"Even those ones who will probably play the cup final, to rest for a couple of weeks is not the best preparation for that".
Manchester United fans offered their support to Ferguson in their first match since it was announced their former manager had suffered a brain haemorrhage.