Jahanbakhsh joined the Seagulls as player of the season in Eredivisie, the Dutch top flight, after 21 goals and 12 assists in 33 games for Az Alkmaar.
His debut campaign at the Amex ended without a goal or assist in 24 appearances, 17 of them in the starting line-up.
Jahanbakhsh will have a full pre-season this time with Potter following another appearance for his country in a 1-1 friendly draw in South Korea, which he withdrew from at half-time after feeling unwell.
He already has some inside information on the head coach from international teammate Saman Ghoddos, who played under Potter in Sweden for Ostersunds FK.
“He (Ghoddos) was very positive about our new manager and that gives me even more of a good feeling ahead of the start of pre-season,” Jahanbakhsh told Argus.
“Football-wise he wants to use the wingers and get them to create chances. It’s all about looking forward and scoring goals, but he also wants to talk to the players and get the feeling of the way they like to perform. I am really looking forward to linking up with him and to see how he wants us to play,” he added.