Man United agreed to pay Sanchez off, in order to encourage him to leave the club and join Inter Milan on a permanent basis.
Both clubs announced the transfer on Thursday.
Reacting to the development, Sanchez said he feels at home at Inter Milan and is happy to have completed a permanent transfer from Man United.
“I am really happy to be staying here with you, Inter fans,” Sanchez told Inter Milan’s social media channels.
“I have found a family here, and the staff are great.
“[It’s] a group where there is a real desire to win something big. People here want to fight together as a team to give the club the success it deserves.
“I am hungry, and I want to win – my goal is to make all our fans happy. I am here to win, and I am happy that I am staying here at Inter!”
