Solskjaer has restored pride and belief to Old Trafford since taking interim charge in December.
It may also be the ideal time to run into an injury-ravaged PSG, with the world's most expensive player Neymar, Edinson Cavani and Thomas Meunier all sidelined by injury.
"It's not about making a case for me to stay", he told Sky Sports.
"It's a winning identity, it's a confident identity". Rashy got a dead leg against Leicester that he's struggled with all week, so we don't want to risk him.
"Obviously things are going really well, we are really happy to have him here and we hope we can continue but the final decision isn't with us", Martial said.
Worryingly for PSG, it is not a naive approach exclusively based on bombing forward.
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Pogba has scored eight goals and provided five assists in his past 10 games.
"He is asking me to attack more", Martial said. "It is a pleasure to play again". As well as (Marcus) Rashford, (Anthony) Martial, (Romelu) Lukaku, we have (Alexis) Sanchez and (Jesse) Lingard.
The 21-year-old was never trusted with a consistent run of games as a central striker under Mourinho.
Solskjaer outlined his first task as putting smiles back on the players' faces but the feel-good factor has galvanised the fans just as much as his squad.
The decibel level has risen since Solskjaer's arrival, even for humble opposition in Huddersfield, Bournemouth, Reading, Brighton and Burnley.
If Martial can ask as many questions of PSG's defence in the first leg of their round-of-16 tie as he did Fulham's back line at Craven Cottage on Saturday (Sunday NZT), United may fancy their chances.
Solskjaer has overseen a dramatic change in fortunes for United since replacing Mourinho in December, and will be looking for his 11th victory in 12 games when Paris St Germain visit Old Trafford in the Champions League on Tuesday night.