Mark Hughes and substitute Steve Jones also got on the scoresheet for the Saddlers as they turned round a two-nil deficit to deny Wycombe what looked like being their first win since August.
Hutchings said: "We didn't get to grips with the game at all in the first half, allowed them to play and I wasn't happy at all so we had to change things around.
"On another day we might not have been so lucky and you wouldn't be able to print what was said at half-time. But we got the goals we needed to and hung on despite them continuing to create chances to score.
"We had luck, but you have to give our lads a bit of credit for the character they showed to keep going and come back the way they did in the second half."