She has shared the stage with such artists as Frank Morgan, Brian Lynch, Betty Carter, and Ray Brown Jr., and has performed at Birdland, Blue Note, the Hollywood Bowl, and Jay Leno's "Grand Slam Charity Event".
While in college she performed with the jazz band, the school's symphonic orchestra, and a Christian rock group.
[6][7] Grzanna is a composer, singer, multi-instrumentalist (saxophone, piano, clarinet, accordion), arranger, and producer.
[12] In 1997, she won a WAMI (Wisconsin Area Music Industry Award) for Best Jazz Group/Artist Contemporary.
[13] In 1999, her single, "Fly Me to the Moon," received a fair amount of airplay on jazz radio stations and Billboard magazine wrote, Grzanna displays both melodic saxophone playing and a knack for making standards"[14][15][16][17] Also that year, Billboard's Jazz /Blue Notes wrote, "Claire Daly and Suzanne Grzanna debunk myths about female jazz musicians.