Leeds United lost their second straight Championship game on Saturday.
The towering striker was withdrawn by manager Garry Monk on the 60-minute mark after having minimal impact during his hour-long stint on the pitch.
The news of his substitution was met with ironic cheers and jeers from some sections of Leeds fans inside Elland Road, and Bamba has urged supporters to strike a balance between airing their views and respecting the players at the same time.
“It’s harsh and we don’t want that,” Bamba said to The YEP.
“I understand that the fans pay so they have a right to make their feelings known but I think we need to be together on this. We need to stick together and something can happen."
Leeds supporters certainly seemed unhappy on Saturday - and rightly so.
Manager Garry Monk would have been expecting a solid response after their opening-day 3-0 defeat at QPR but there was more of the same from the Whites on Saturday.
They did, to their credit, do well to get back into the game when Hadi Sacko cancelled out Jacques Maghoma's 15th-minute opener, but Leeds seemed to surrender once Michael Morrison re-established the lead for Birmingham 10 minutes after the break.
Monk's troops had the best part of 35 minutes in which to crowbar their way back into the clash but Kemar Roofe - who replaced Wood - also seemed to struggle for an influence.
They host Fulham - who have won both of their Championship games - on Tuesday.