The Chicago Tribune's music critic Howard Reich named Jack Cooper's 2014 release "Mists: Charles Ives for Jazz Orchestra" (Planet Arts) one of the top ten jazz CDs for that year. London Jazz News' critic Frank Griffith is quoted, "...(sic) has effectively woven these early 20th Century Ivesian themes in very contemporary sounding excursions of creativity." Cooper is the also musical director for the 2015 "Time Within Itself" release for Origin Records. The CD garnered international acclaim. Polish jazz critic Andrzej Fikus writes, "Time Within Itself owes its success largely to excellent arrangements by Jack Cooper, one of today's best jazz arrangers in the U.S. ... (sic) particularly in the layer of instrumentation. Cooper gives a masterful display here." The second release for Origin Records is in late 2017.

As a saxophonist and woodwind specialist he has worked with many artists including Macey Gray, Brian McKnight, Manhattan Transfer, the Temptations, Glenn Campbell and many others. He can be heard on numerous releases, to include for Select O Hits and Galloping Cow Records.