Career
Early career
Hailing from Oslo, Aleesami played for Holmlia Saskatchewan and later Skeid. He joined Skeid"s first-team squad in 2010, playing in the Second Division, and was named "Skeid"s best young player of the year" in 2011. In August 2012, he joined Fredrikstad FK to replace Benjamin Dahl Hagen who had returned to Vålerenga after a loan-spell.
IFK Göteborg
On 18 August 2014 he signed a four year contract with Swedish club IFK Göteborg.
He joined the club in the pre-season before the 2015 season.