The New Zealand international came off the bench to keep Leicester in the cup with an 82nd-minute strike after managerless Huddersfield appeared poised to take the win thanks to a Lee Novak penalty. Wood, a £1.25million signing from West Brom, scored twice on his debut in a 6-1 thrashing of Huddersfield on New Year's Day and has not looked back since.
Pearson said: "He has brought a new dimension to the club and has all the qualities we are looking for. He is doing what we hoped he'd do."
He added: "Looking at our own performance we were a bit disjointed but you have to give credit to Huddersfield.
"I made some changes, some through choice and some forced on us, but we showed good fighting qualities to come back into the game."
Terriers caretaker boss Mark Lillis, the club's academy chief, said it was an honour to take temporary charge.
He added: "It was a fantastic experience for me being caretaker manager in an FA Cup tie.
"It's an honour for me and hopefully the fans have gone away knowing we have had a good go."
Lillis refused to be drawn on whether he wanted the job permanently and said: "I am the academy manager and I will go back to that when a new manager is appointed and support him all I can.
"It's a big job and a good job. This is a Championship club with a great stadium and a chairman who puts his money where his mouth is. It's a great job for someone and no doubt there were some managers or their spies in the ground looking on."