Pearce believes that the former Arsenal prospect will be a success at the Cherries and has advised him to get the mentality that Leicester City striker Jamie Vardy has.
“I think he'll be a hit because he's going to a club where he will be a big fish as their record signing, and that will give him a lot of confidence," Pearce told Sky Sports. "I think that can only be a good thing for him.
"His acceleration, and if he uses it in the right manner, going in-behind defences, is going to be an asset. The further you go up the food chain in football, the quicker and more physical you are the better. But you've got to couple that with mental understanding of where to move within the pitch.
"Someone like Jamie Vardy is unshakable in his mentality, he's got no respect for players he plays against and I mean that in the best possible way. Benik has to get some of that, because he has not made it at Arsenal in the Premier League, he's got to gain some of that arrogance in his play.”
Afobe failed to make his mark at Arsenal and left the Gunners on a permanent basis in January 2015 without making a single Premier League appearance for the North London outfit.
The 22-year-old, though, has proven himself in the Championship and in the lower leagues. The youngster scored 13 goals and created 19 chances in 21 league appearances for Wolves last season.
The England Under-21 international did not fare as well for Kenny Jackett's side this campaign, scoring just nine goals and creating 18 chances in 25 Championship games.
Meanwhile, Vardy has been one of the best players in the Premier League so far this season. The England international striker has scored 15 goals and created 22 chances in 20 league games for Leicester this campaign.