The Italy international has been deemed surplus to requirements at St Mary's and has been tipped to return to the Serie A with the Nerrazzurri after spending a portion of last season on loan with Juventus, and has recently declared his desire that the move is sealed.
“Inter is a great opportunity because there is a coach like Mazzarri,” he told Corriere dello Sport.
“Mazzarri is a great coach. I cannot wait to start.”
The Italy international has also spoke of his hope that a move back to his adopted nation will help his chances of getting back into the Italian national squad, after being left out of the 2014 World Cup squad by Cesare Prandelli.
“I'm back from a season in which I played little and if I do well with the Nerazzurri I can win back my place in the national team.”
Osvaldo's career has stalled since Southampton shelled out 15 million Euros to prise the 28-year-old from Roma, with couple of training ground bust-ups with team-mates eventually sealing his loan move to The Old Lady in January.
The proposed move to San Siro for Osvaldo is likely to include a move in the opposite direction for Saphir Taider, whom Southampton coach Ronald Koeman has declared an interest in bringing to England.