The Mali ace keeps impressing on the south coast as the high-flying Seagulls show they can mix it with the Premier League's best.
Five games into the new Premier League season, Graham Potter's side find themselves in the upper echelons of the division, while Arsenal continue their mixed form.
Bissouma himself has started all five of their matches and as well as registering an assist, continues to rack up the tackles and interceptions which have brought him fame on these shores.
His pressing ability is also a standout quality and Gunners hero Parlour, who is a big fan, remains keen.
Speaking on talkSPORT, he said: "I've said for a long time that Bissouma is a top-class player.
"I would love to see him at Arsenal, I said that in the transfer window: the one player I would like to see is Bissouma.
"I think he's got everything. He's efficient on the ball, he can put his foot in as well, he can pass.
"He probably could score a few more goals I should imagine, but he's not in the position to score goals. He's the one that is going to keep everything ticking."
Bissouma was linked with a transfer this year but no deal materialised.
And while he is enjoying life at the Amex stadium, he is keen to show his talents on a much higher stage.
"I didn't go this summer, maybe its because it's not my time to go,' Bissouma told Brighton's official website.
"When my time will come, it's my time, but I'm happy in Brighton, I'm enjoying playing football.
"My dream is like every player, I want to play in the Champions League, I want to be champions. I want to compare myself on the top level, not just with other players."