Chamakh arrived at Upton Park on loan from Arsenal this week after an unhappy time with the Gunners in which he has scored just one Premier League goal since November 2010.
But with the Moroccan still just 28-years-old, Allardyce is keen to see the player rediscover the touch that persuaded Arsene Wenger to sign him.
"We'll try and get him to be that goal threat he was at Bordeaux," Allardyce told reporters.
"He's been very disappointed with his lack of involvement at Arsenal, certainly for the last year, and he's itching and hungry to get back and show what he can do.
"We'll give him the platform and hopefully he grabs the chance with both hands and reproduces his Bordeaux performances.
"He won the league with them and played well enough for a team as big as Arsenal to want to take him.
"You need to provide the service he needs. He's exceptionally good in the air and at getting between defenders from crosses.
"That's what we can provide him with, the materials and ammunition for him to get a few goals.
"He's got a big chance to prove what he can do in the Premier League with us and it's about him proving it to himself."