Anisimov fell to the ice behind the Detroit goal along with Red Wings defenseman Kyle Quincey 3:48 into the second period, and Quincey's arm appeared to connect with Anisimov's head as they hit the ice. Anisimov had limited movement during an extended delay before being carried off the ice.
"He's alert and stable," Blue Jackets coach Todd Richards said. "Obviously, that's great news."
The 24-year-old Russian center was taken to the Detroit Medical Center as a precaution because he said his head hurt.
"He'll be kept in the hospital overnight for observation," Richards said. "The plan is right now to send him back to Columbus (Friday) where he can see our doctors."
The medical staff for both teams helped put Anisimov on a backboard before he was taken off the ice. The Joe Louis Arena crowd was quiet while Anisimov was carefully being prepared to be put on a stretcher. Anisimov was cheered when he was wheeled off the ice.
Quincey skated off the ice following the collision and went to Detroit's dressing room with an injured left leg.
Anisimov was acquired from the Rangers in the offseason trade that sent Rick Nash to New York. He has four goals and six points in 15 games this season, his first with the Blue Jackets. He averaged 36 points the previous three seasons.
Information from The Associated Press was used in this report.