Just 48 hours before kick-off the Glovers were unable to field a starting XI before four loan signings were made – with one of them, Marcus Barnes, scoring the opener before Jordan Green’s goal confirmed them as the lowest ranked team left in the competition.
“It’s an absolutely extraordinary achievement,” Way said. “We all deserve it because we’ve come through adversity this week and produced when it mattered.
“An incredible amount of effort and energy has gone into fielding a team, let alone winning a football match.
“The players must take great credit for sticking together through tough times and having faith that we could come through today.
“On Wednesday I only had 10 players available but four signings later we were able to get a motivated team together to knock out a team from a higher division.
“The players had to believe they could do it and they took the opportunity to create a little bit of history for a club which has a great record in this competition.
“This result will be remembered for a long time at this club and now we wait to see who we get in the next round.
“I’ve promised my young son that he can sit on the bench if we get Chelsea because that’s who he supports, so hopefully that can happen for us.”
Stuart McCall praised Bradford’s opponents for their performance and conceded that despite his team fighting for promotion in Sky Bet League One and Yeovil struggling in League Two, the hosts were worthy of their win.
“We got everything we deserved today,” McCall said. “Yeovil were terrific and full credit to them. They were young, hungry and wanted it more than us. On the day they deserved to go through.
“We didn’t come out of the traps and our first half performance was as poor as we’ve been. They won every battle.
“Second half we were better but got done by two counter-attack goals but they thoroughly deserve to be in the next round.
“It’s not something a manager likes to say but we were second best all over the park today. It’s happened once or twice this season and it can’t happen again.
“If you don’t turn up you can get beaten by anyone. We were fortunate to still be in the cup at half-time.
“I think if we’d gone back up the road with a replay we’d have been fortunate. That’s football. We can’t have any arguments with the result.
“We’ve got to lick our wounds now because you don’t become a bad team overnight.”
England manager Gareth Southgate has claimed that the country needs to boot racism out of its own football before criticising World Cup hosts Russia.
Newcastle have been linked with a shock move for former Sunderland goalkeeper Simon Mignolet during the summer.