The Foxes silenced Ashton Gate with some incisive football but there was no doubting the star of the show - Wood netting thrice to take his impressive run to six goals in three games.
Pearson said afterwards: "Chris Wood has taken his chances for us and scored some early goals, which makes a big difference.
"He is a very focused young player who has fitted in straight away and gives us a height and physical presence up front, which perhaps we lacked.
"It is not easy to sign quality players in January and I am delighted to have secured him early in the window.
"We created a lot of chances to today and I am also very pleased to have kept a clean sheet.
"We could have passed the ball better at times and the second half seemed to go on forever. But we protected our lead and managed to build on it."