Rooney will reunite with United when Derby County welcome Solskjaer's side to Pride Park in the fifth round of the FA Cup on Friday (AEDT).

A five-time Premier League champion and Champions League winner before leaving United in 2017, Rooney joined Championship outfit Derby as a player-coach from MLS franchise DC United in January.

Solskjaer on Pogba

"Yeah," Solskjaer replied when asked whether Rooney, 34, could be manager. "It depends on how much you put into the job and how much you want it

"It takes over your life but it's the second best after playing. I am sure there are many ex-players and managers who want my job."

Rooney tops United's scoring charts with 253 goals in 559 appearances for the Premier League giants.

Since moving to Derby, ex-England captain and the country's all-time leading scorer Rooney has netted four goals across all competitions.

Rooney has scored three goals and supplied two assists in the Championship for 13th-placed Derby.

Solskjaer's United, meanwhile, are fifth in the Premier League and three points behind Chelsea – who occupy the fourth and final Champions League spot.

United – 37 points behind runaway leader Liverpool – hosts rival Manchester City in the derby at Old Trafford this week.