Town will host Jose Mourinho’s Premier League side in the fourth round the weekend commencing January 26th.
It will be the second time in three years the Glovers will have faced the Red Devils at Huish Park and Way is relishing the challenge.
“I don’t think I could pick anyone better to go up against in the world we live in at the moment,” he said.
“It was an extraordinary achievement to get to the fourth round and to get Manchester United is a special moment for the club.
“I want everyone to enjoy it and embrace the fantastic challenge. The players and supporters deserve it. It’s going to be a magical day.
“I’ll be making sure the players remain focused before then as it’s only in their best interests.”
Ticket details for the match will be released in due course.