The 22-year-old midfielder is yet to make a first-team breakthrough at the Etihad Stadium, but has been tipped for a bright future, having also attracted admiring glances from a host of domestic rivals.
Currently on loan in Norway with Stromsgodset, Ibrahim has just 12 months remaining on his Manchester City contract, and could be ready to move on this summer when he returns from the European U21 Championships in Israel.
The Norwegian youth international is preparing to hold talks with his current club about his future, and openly admits having an allegiance to one of his reported admirers, having grown up an Arsenal fan.
"I'm very flattered to be linked with Arsenal, I grew up as an Arsenal fan and my hero was Patrick Vieira when he was playing there," Ibrahim told Sky Sports.
"I would be very honoured to play for Arsenal and it would be all my dreams come true to work with Arsene Wenger."
He added: "He has developed so many young players over the years and gave them chances in the first-team, but at the moment my focus now is doing very well in the Under 21 European Championship next month in Israel with my national team and hopefully try and win the tournament."
Brendan Rodgers has also been credited with an interest in bringing Ibrahim to Anfield this summer, as he too looks to strengthen his Reds squad ahead of the 2013/14 campaign.
However, both Liverpool and Arsenal will face serious competition for the player's signature with the likes of Fulham, Swansea and West Ham all monitoring his situation.
"We will see what happens in the next couple of months about my future as I'm contracted to Manchester City for another year," Ibrahim added. "I'm 22 years old now and I want to be playing week in week out in the Premier League.
"I'm open to extending my new deal, but I'd like to meet the new manager if it's [Manuel] Pellegrini and see what he has to say."