The two sides laboured to a 0-0 stalemate at Old Trafford, although Chelsea goalkeeper Edouard Mendy pulled off an excellent save to deny Marcus Rashford late on.
But after the game, Evra criticised United and Chelsea players for their lack of intensity and described the match as ‘boring’.
‘The players were playing with a safety jacket on and I don’t like that,’ Evra told Sky Sports.
‘I want entertainment. I want players to play without fear.’
But Solskjaer has hit back at the criticism and believes United looked like the team who were more likely to score the winner.
‘Well I think the boys started a little bit slow, the first 20/25 minutes, but I thought if there was going to be a winner in the last hour, or 65 minutes, it was going to be us who created the biggest chances,’ said the United manager.
‘There’s two good teams out there and we decided to get out of the box to try to get a foothold in the game and we didn’t create too many chances.
‘I thought if there was going to be a winner, it was going to be us. You’ve got to remember we’re playing against a good team here. So I’m pleased with the players.’