The Hammers remain without the services of their record signing as he continues to nurse a foot complaint.
It is possible that Carroll will be out of action until January, leaving Sam Allardyce short on attacking options.
He has moved to bolster his ranks with the capture of former Fulham frontman Petric as a free agent, and the Croatian made his debut off the bench in Saturday's 3-2 defeat to Everton.
The 32-year-old is a proven marksman at domestic and international level and is confident he can make an important contribution at Upton Park.
Petric said: "I am a striker and I want to score. I hope I can help the team not only scoring goals, but in the games.
"I feel I am getting better every day and I'm sure I can help the team."
Allardyce said of a player who is still working on his match sharpness: "He's been tired and had aching limbs.
"But with a lot of massage and ice baths he's got through it well. We'll see him again against Cardiff (in the Capital One Cup) on Tuesday."