The Reds captain has been granted permission to conclude a move to Serie A after being targeted by the title-chasing Italians.
Inter, coached by former Chelsea boss Antonio Conte, bought Romelu Lukaku from United in the summer and also currently have Alexis Sanchez on loan.
“Well, to be fair, I think it was for Ashley, you know,” explained Ole.
“He is 35 in the summer and, if he gets a two-year contract somewhere, I think it's up to him to take that. We weren't ready to offer that.
“He's been a good servant for the club.