Graduated from the Fryderyk Chopin Academy of Music in Warsaw in the percussion class.
Since 1993 he has held the timpani and percussion position in the Sinfonia Varsovia Orchestra.
With the Sinfonia Varsovia Orchestra he has performing at the most famous venues around the world, more than one thousand concerts in Poland and abroad with an extraordinarily varied symphonic and chamber music repertoire. He has appeared many Sinfonia Varsovia recordings for major labels, with famous conductors and soloists.
Since 2007 he is a President of the Sinfonia Varsovia Foundation.
Kostrzewa is also involved in teaching activity, having lectured at the Karol Szymanowski Music School Complex in Warsaw since 2004. In 2007 he co-founded the now well-known Szymanowski Big Band.
In 2012 he was invited to take over the artistic direction of the Chopin University Big. With this ensemble he achieved a many spectacular successes, during the competitions and performances at major festivals.