The Frenchman had considered leaving Old Trafford this summer after eight years at the club and his representatives are understood to have spoken with Italian champions Juventus earlier this week.
His departure seemed likely too after it was revealed that United had made a £27m offer for Southampton left-back Luke Shaw. However, Evra has resolved to remain a part of the side ahead of the arrival of new manager Louis van Gaal.
The Dutchman's appointment will not herald the arrival of Toni Kroos, however, after the midfielder stated that he has no intention of leaving Bayern Munich this summer. The 24-year-old had been linked strongly with a move to Old Trafford but revealed yesterday that he is quite content to stay at Bayern.
United will come up against a familiar name next season, though, with former striker Mame Biram Diouf close to finalising a move to Stoke City. The Senegalese player will become a free agent when his deal with Hannover expires in July.