Ronaldo was not included in the starting line-up but came off the bench in the second-half before Andros Townsend cancelled out Anthony Martial's opener.
With United failing to win the game, the former Juventus forward was seen walking down Old Trafford annoyed and was muttering to himself.
Commenting on the post-match reaction by Ronaldo, Neville thinks a behaviour like this will affect Solskjaer negatively.
"I watched him walk off and I can't say I like it," Neville said on his Sky Sports podcast.
"Is Cristiano upset when he doesn't play? Yes. Is Cristiano upset when he doesn't score? Yes. Is Cristiano annoyed as hell when the team don't win? Of course.
"We know those things. He doesn't have to prove that.
"He walked off the pitch muttering to himself, which throws the questions up in the air - what's he saying? Who is he annoyed with?
"It can only come back to the manager. Actions like that - and Cristiano is smart enough to know this - will bring real pressure on the manager, more pressure than Ole Gunnar Solskjaer is already under.
"I think that is something that just has to be managed in the next couple of months. Cristiano is not always going to score, he's maybe not going to play every single game.
"But I think if he walks off like that, it's going to put immense pressure on Solskjaer. There's no doubt the talk after the game was about the manager.
"He has this collection of players but they haven't got this style of play, they haven't got this or that. He didn't pick Ronaldo..."