The Brazilian international had an excellent start to the current season - and despite a recent dip in form - is considered one of the key men in the future of Chelsea Football Club.
Oscar has three years left on his current deal and is also reportedly being watched by both AS Monaco and Barcelona ahead of potential big money summer moves.
PSG are of course no strangers for setting their sights on a target and going for it without mercy - they have been doing it for two years now.
But even the richest club in world football have rules they must abide by - rules that could come to the aid of Manchester United.
In the summer of 2012 Manchester United were heavily linked with Sao Paulo wonderkid Lucas Moura. However Manchester United failed to bring him in - with the French financial powerhouse winning the race by splashing out a whopping €45 million to get their man.
"I find it quite amazing that a club can pay €45 million for a 19-year-old boy…When somebody's paying €45 million for a 19-year-old boy you have to say the game's gone mad."
Lucas Moura however is probably wishing he went to Manchester.
His time in Paris has been frustrating. He officially joined up with the club in January 2013 - and went on to play a part in the end of season festivities at PSG.
But his first full season at the club has seen him struggle for regular football - and as a result he looks likely to lose his place in the Brazil quad for the upcoming World Cup.
And PSG are now said to be willing to sell the player, or at least loan him out next season.
And they would have to anyway if they wanted Oscar. Ligue 1 rules dictate that clubs can only have four players in their squad with non-EU passports - and PSG already fill that quota, meaning either somebody needs to become a citizen of an EU nation, or somebody has to go.
And looking at the list of players in question - Lucas would seem the most likely.
All that remains to be seen is whether Moyes likes Moura as much as Fergie did.
image: © Doha Stadium Plus Qatar