The recently-reformed group, who will represent Britain in this year's contest on May 14, criticised Schofield for publicly denouncing the song as "shocking", then adding: "I was just being honest."
Responding to his comments, Anthony Costa told Digital Spy: "The man is a national treasure on TV, and for him to say what he did about our song... obviously he's entitled to his opinion, but he should have pulled us aside.
"To say it to 700,000 followers on his Twitter wasn't cool. If we performed it on his show, he'd stand there and give us a clap, and he would say well done."
Lee Ryan added: "He'd be like, 'Let's wish our boys luck', and we'd be thinking, 'You two-faced Gordon the Gopher!'"
Responding to the ITV presenter's remark that Eurovision is a "political farce", Simon Webbe insisted: "It's not a farce anymore - Germany won it last year! He needs to do his homework before he jumps in with those sort of comments."
"It's backfired on him anyway because it's given the song lots of press attention," Duncan James continued. "It's made us determined to get this song into the top five and come back, sit on his sofa on [This Morning] and have smug grins on our faces."
Blue release 'I Can' in the UK on May 1. Watch the official music video below: