The 33-year-old former Manchester United and Everton captain, speaking in an interview with CNN World Sport released on Tuesday, said he was not a fading force and he could still compete against some of the world's best players.
Furthermore, due to his time at the reserves, Solskjaer has actually coached players like Paul Pogba and Jesse Lingard before - so he had a close connection and understanding with the squad before he had even arrived.
Manchester United star Jesse Lingard has taken a clear dig at former manager Jose Mourinho by claiming the club are back to their "old" ways under Ole Gunnar Solskjaer.
But Solskjaer has already won many admirers with his astute handling of a hard situation and Fulham manager Claudio Ranieri claims the former United striker has already proved he deserves the job.
With victories in nine of those games, fifth-placed United have surged back into the race to qualify for next season's Champions League via a top-four finish. There are so many good players [in the United team] - [Paul] Pogba, [Marcus] Rashford, so many.
United sit just two points behind Chelsea and can end this weekend in fourth place if they beat struggling Fulham at Craven Cottage and Maurizio Sarri's team lose at Manchester City on Sunday.
Phelan, who also served as an assistant to Alex Ferguson, returned alongside Solskjaer, and together Lingard thinks they have reinvigorated United.
"Marcus and me have been setting targets for each other to challenge ourselves", Lingard said.
Do you agree that Paul Ince could never have done the tremendous job that Ole Gunnar Solskjaer has done at Manchester United? "He shows the players are with him".
"I signed him for £5 million, it was good business", the Italian said.