The Swedish international has played in the French capital for the last three years and would be keen to team up with Di Maria at the Parc des Princes.
Despite a good start, the Argentine struggled in his first year at Old Trafford but Ibrahimovic is convinced he would improve the French champions.
“I don’t know if it is done but of course if you get a chance to play with Di Maria it is a fantastic thing. The guy has won everything. He is a fantastic player who plays for the team,” he is quoted as saying in the Irish Times.
“He brings pace to a team. He brings quality, big quality and for sure he will make our team even better than it is today. So for sure he is welcome and we will receive him with open arms.”
Ibrahimovic also praised the club’s owners for their determination to bring in top class players year on year and drew comparisons with the way Real Madrid continue to attempt to add to their squad despite boasting numerous world stars.
“It shows how much they are willing to get what they want,” he added. “By investing in players like that. Because every year they invest to get big players but also players that fit in the team.
“So there is no limits. The people behind this, they want to become big. They are dreaming bigger and they will get bigger.
“It’s all about small details. Real Madrid are a fantastic team. They have fantastic players. Of course when Real Madrid got Bale they became better for sure and we will become better for sure with Di Maria.”
PSG boss Laurent Blanc confirmed he is “hopeful” of signing Di Maria and the saga took another twist when the winger failed to board a flight to North America to join up with his United team-mates.