The Scotland international signed a four-year deal with Harry Redknapp's Rangers on Friday, after making over 100 appearances for the Tangerines since joining from Wycombe in 2010.
Blackpool boss Ince had hoped to keep the 22-year-old winger at Bloomfield Road but admitted the club could not refuse the offer for a player who had a year left on his deal.
"To lose him is a big blow to me," Ince told BBC Radio Lancashire. "I'm not happy and I'm sure the fans aren't.
"But Matty had a year left and he wasn't prepared to sign a new contract. When an offer comes in for that type of money, business is business.
"He's gone and I wish him all the best because he's been fantastic for us."