Neville says he would keep the Argentine if PSG's low opening offer is to be believed.
Their opening offer is however not exactly what the Red Devils would have had in mind.
The Guardian reported the French champions have bid just £28.5 million.
United spent £59.7 million to sign the winger from Real Madrid last August, who went onto score three goals and provide 10 assists.
Former United defender Gary Neville believes PSG's bid is unacceptable.
He told Breathe Sport: "I'd keep him if that's true!!"
Whether United will keep him or not remains unclear, but according to The Guardian, they have rejected PSG's opening offer.
The paper claim Ed Woodward is seeking a higher price, with Louis van Gaal resigned to the possibility of Di Maria's intent to leave, but this will only happen if PSG offer United a reasonable amount.
If PSG continue to lodge insulting offers, then United may simply dig in their heels and decide not to do business with the French side.
He was due to meet up with the United first team squad on Sunday, but did not fly out. The Guardian report that his whereabouts is unknown.