Moore was brought down by Saints defensive tackle Sedrick Ellis on third down early in the second quarter. Moore was favoring his right shoulder as he jogged off the field. He tried to throw on the sideline, but was wincing and then walked inside to get treatment.
Moore did not return and Clausen was eventually replaced later in the game by undrafted free agent Tony Pike.
"There probably wasn't much fear of a comeback at that point in the game," Fox said of benching Clausen. "It gave [Pike] valuable time."
The Saints won 34-3.
Fox said Moore would start next week at Tampa Bay if he's healthy.
"I think he can operate our offense the best of the quarterbacks," Fox said, "unless we decide to go to the wishbone."
Sharper drilled Stewart in the head with his shoulder at the end of a 5-yard gain in the first quarter, causing Stewart to fumble. Stewart was on the ground for several minutes before walking off the field with the assistance of two members of Carolina's medical staff.
The Saints then won a replay challenge, giving them the ball on the fumble.
Stewart had rushed for 30 yards on five carries, matching his total from last week.
Moore was knocked out of Carolina's season-opening game against the New York Giants with a concussion.
Information from The Associated Press was used in this report.