The 27-year-old Rashford who’s on loan from Man United, has scored three goals in 12 matches across all competitions since his January move.
He made a substitute appearance against Nottingham Forest last weekend, having started his side’s Champions League last-16 second-leg tie against Club Brugge last month.
Rashford had attracted interest from PSG before securing a deal with Villa.
PSG have had a long-standing interest in Rashford, with club president Nasser Al-Khelaifi going public about his admiration for the star forward.

In the summer of 2022, Rashford’s entourage, which includes his brother, held meetings with the hierarchy at PSG, including then-sporting director Leonardo.
According to a report from L’Equipe via Get French Football News, Rashford had given the green light to move to the Parc des Princes.
But the landscape of the transfer changed when Leonardo was replaced by Luis Campos, who has renewed talks over bringing Rashford to PSG.
Campos is still keen on PSG signing the England international ahead of the transfer window reopening this summer.
An English source said: “Negotiations became a lot more difficult from that point on. Everyone was confident when Leonardo was in charge but not at all after his departure. I am convinced that if Leonardo had stayed, Marcus Rashford would have joined PSG.”

It is unclear whether Villa will opt to sign Rashford on a permanent deal while PSG are set to be in the market for a new forward.
Per the report, he wanted to remain in England in January amid interest from Marseille.