The 21-year-old, who has started all six league games under Solskjaer, marked his 150th club appearance with a sensational goal, cutting inside and curling a precise shot into the top right hand corner.
Ole Gunnar Solskjaer has pulled himself into some very illustrious managerial company after his Manchester United side recorded their sixth league win on the spin against Brighton at Old Trafford this afternoon.
The 21-year-old England global, who expertly turned away from Pascal Gross before curling a fine shot into the top corner, has netted five times in six league matches following the Norwegian's appointment in December.
"He made a chance for Jesse (Lingard) and I can not believe how Jesse didn't score on that chance at the back post".
Solskjaer has won the first seven games as Manchester United manager in all competitions and has brought the Red Devils back into the reckoning for top four.
"You have to give Ole an opportunity, if he continues the way he is going then I'm sure that will be a discussion with Ed Woodward and the Glazers whether he keeps the job", Rooney told ESPN.
There were reports of dressing-room unrest prior to Mourinho's sacking amid a fractured relationship with star midfielder Paul Pogba.
Solskjaer was drafted in from Molde to replace Mourinho, who was sacked in December with the club sitting 19 points behind Premier League leaders Liverpool. "They're probably pressing higher, and they've got a really good momentum at the moment. But of course to be part of a team winning so much feels great, and the confidence that grows in that dressing room, I think the team spirit kept them away from losing points today".
"I think it wasn't nice watching Manchester United over the previous year and knowing the players weren't happy, they weren't enjoying it and I think all he's done is say "go and play, go and express yourselves, and enjoy it", United's all-time leading scorer said. "I don't think anybody would have expected the start he's had to his management career at Manchester United".
"Credit to a group of players that seized the opportunity to get back in the game".
Chances then went begging at both ends of the field as Anthony Martial was denied by Button from a one-on-one position, failing to get enough lift on his dinked finish, and Glenn Murray blasted an angled finish wide of De Gea's goal from seven yards.