Italian outlet sportmediaset claim PSG themselves have earmarked Icardi as a forward target for the summer.
The Argentine, 22, boasts 10 goals for Inter this season and has picked up the captaincy under manager Roberto Mancini.
PSG yesterday sold Ezequiel Lavezzi to Chinese Super League side Hebei China Fortune.
They are also expected to lose Uruguay international Edinson Cavani at the end of the season.
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And they are therefore unlikely to let Ibrahimovic leave for Old Trafford without signing a top replacement.
Icardi has reportedly been earmarked as a suitable alternative to the Sweden international, while PSG remain hopeful of landing Brazil striker Neymar from Barcelona.
It is claimed the Ligue 1 champions are willing to spend £35million on Icardi, with United open to other options if they are dragged into a bidding war.
Ibrahimovic has already said he is willing to consider a move to the Premier League and his name is reportedly on Jose Mourinho's shortlist of targets should the former Chelsea boss replace United's Louis van Gaal this summer.
Ibrahimovic is out of contract at PSG this summer and is looking for a club.