Paul Scholes has questioned Manchester United boss, suggesting he is a 'sporting director' rather than a manager.
The Reds stumbled to successive 1-1 draws following the midweek disappointment against Burnley, as Southampton restored parity just three minutes into the second half.
United made the decision in light of Solskjaer's sacking to appoint an interim manager until the end of the season, something the legendary midfielder Scholes has criticised.
"That's the feeling around the place [quiet inside Old Trafford] there's a lack of interest now with how the season's been," he said speaking to BT Sport.
"It's been a bad seven days, it's really been a bad six or seven months, you think the season's not been good enough.
"The sacking of Ole was coming, we all knew that but we all felt that, where was the plan? There has to be a plan, there has to be an elite, top coach into the football club to revive the football club.
"It's Manchester United, they should have the best of everything and to not have a plan and bring what is a sporting director, he's coached a team two years out of the last 10.
"Don't get me wrong, I like the man, he comes across well, but he's looked like he's lacked coaching in the last five or six years. They're a team of individuals, you look at the difference today in Man United to Southampton.
"Southampton were brilliant, the coaching, methods, passages of play, it was fantastic.
"You look at Manchester United and they were all over the place. McTominay was left on his own in midfield, Pogba left on his own in midfield, where Bruno Fernandes is playing, I don't know.
"He's playing all over the pitch, the wide players don't work hard enough, it isn't always about being in possession, sometimes you've got to do stuff that is ugly that gives you a bit of pain. So often this team jog back and it's so easy to play against.
"One team have got a proper coach, the other team has a sporting director which isn't right for Manchester United."
Sign up to our United newsletter so you never miss an update from Old Trafford this season.