Jack Wilshere picked up an ankle injury against Tottenham
Bournemouth were beaten 4-0 at White Hart Lane and their afternoon was made even worse when Wilshere hobbled off with an ankle injury in the second half.
And the Tottenham supporters celebrated as the midfielder slumped to the ground and then again as he limped down the tunnel.
Cook is aware of the rivalry between Arsenal and Tottenham, but believes the reaction to his team-mate suffering an injury was too much.
Jack Wilshere was forced off on 55 minutes
"Obviously there's no love lost between Arsenal and Tottenham fans and especially Jack and the Tottenham fans," Cook said.
"But it's not nice. He's a professional and I know a lot has been said in the past and a lot has happened but no-one likes to see a reaction like that to a player getting injured.
"That's the game I suppose but for me it was disappointing."
There's no love lost between Jack Wilshere and Tottenham fans Arsenal ace Jack Wilshere injured against Tottenham Sat, April 15, 2017
Click to reveal Spurs' cheeky trolling of Jack Wilshere and snaps of the Arsenal ace leaving the game
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Click to reveal Spurs' cheeky tweet and Jack Wilshere leaving the game injured
Wilshere has made 27 appearances for the Cherries since this season and he will now undergo tests to determine the severity of his injury.
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"It didn't look good," Cook added. "We hope it's good news. I'm sure we'll find out in the next couple of days.
"It's very disappointing for him especially in this game to come off injured so hopefully it's fine."