The Uruguay international has only been with the Parisians since the start of the 2013/14 campaign, but his spell in France has been plagued by uncertainty.
Although a central striker, Cavani has often been forced to play out wide to accommodate Zlatan Ibrahimovic, which has left him frustrated.
The Red Devils may axe both Robin van Persie and Radamel Falcao when the campaign ends, which will leave Louis van Gaal short of options to cover Wayne Rooney.
Cavani is seen as a good option by LVG, who is willing to match his £5.75m-per-year salary – which works out at around £120,000-per-week.
‘El Matador’ has netted 28 goals in 49 outings this season for PSG, including a Champions League strike against Chelsea at the Parc des Princes.