Mahrez has not yet scored for Leicester this season, and the 26-year-old was named among the substitutes for the clash at the Vitality Stadium, which ended in a goalless draw.
The attacker came off the bench for the final 15 minutes against the Cherries, however, and Shakespeare has said that he was pleased with Mahrez's "professionalism" in the latter stages of the match.
"There are players behind him who have been chomping at the bit, I always say the team is bigger than any one individual, and Riyad's professionalism I have spoken about on many occasions," Shakespeare told reporters.
"I thought him coming off the bench, you could see his quality and it is one where we need that type of response from players that get left out from time to time."
Mahrez was strongly linked with a move away from Leicester during the summer, with Roma showing the strongest interest in the latter stages of August.