Wright believes Manchester United would be title contenders under Mikel Arteta.
Arteta was the catalyst for Arsenal’s first win at Old Trafford in 14 years over the weekend thanks to Pierre-Emerick Aubameyang’s second half strike from the penalty spot.
Solskjaer was drafted in to replace Jose Mourinho after United’s poor start to the 2018/2019 season, but the Red Devils are yet to progress under the Norwegian tactician.
Manchester United are still waiting to win their first league title since 2013 and have not won a trophy since the 2016/2017 season when they hoisted the Europa League title and League Cup.
Arsenal on the other hand have been transformed by Arteta since he took over as manager. He steered Arsenal to their 14th FA Cup glory last season.
Wright thinks the Spanish coach would have done a better job with the current squad at Old Trafford than Solskjaer.
“Can I just say something, I'm just going to blast it in: If Arteta is managing Man United they are challenging," the former Arsenal striker said on his Wrighty's House podcast.
"Because, for me now I've got to the point where, when you look at the inconsistency of Man United with the components they have, the team that they have, what they should be doing.
"We're talking about [Paul] Pogba here, World Cup winner, you've got [Axel] Tuanzebe who can't even get on the pitch after marking arguably two of the most exciting and brilliant players in the world.
"He's using two holding midfielders when if he's playing Tuanzebe he doesn't need that! And you've got a manager who, for me, is playing off of vibes, he's managing off of pure vibes.
"Look at what Arteta has done in his time at Arsenal. We're seeing coaching change, we're seeing coaching on the field, we're seeing impact. Look at [Mohamed] Elneny, came out of the blue, found him and said, 'He can do this for me, he can do that for me'. He's making the parts work.
"And looking at Ole Gunnar Solskjaer, who's got a Man United team with this [Alex] Telles – I think Telles looks like someone who could do something.
"Harry Maguire is starting to get back to what he can do, we know what Harry Maguire can do, with Tuanzebe next to him and [Aaron] Wan-Bissaka, and the goalkeeper is starting to find his form, they should be doing better than that.
"What they did against Arsenal the other day, for me, for Man United, coming off the back of the two results, was embarrassing. Roy Keane was saying the players will get him the sack. It's not just the players."
