The Chilean has spent the last year on loan at the San Siro and was desperate to quit Old Trafford.
Inter were never going to be able to match his current pay packet and the Red Devils have still been paying a substantial amount of his wages.
But the drop in pay will see the 31-year-old lose out on £1.2m a month.
Sanchez has signed a three-year deal with the Nerazzurri and will earn £200,000-a-week.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!