Cooke's recording of Kodály's Solo Cello Sonata, Op. 8 was hailed as "the finest recent performance" by Fanfare (Nov. 1998). Stereo Review (now Sound and Vision), called his recording of the Solo Sonata "vibrant and dedicated" (Feb 1998), and the American Record Guide commended Cooke as a "solid technician of unusual poise…..this CD does indeed demonstrate cello power" (Sept. 1997). Commentary in American Poems stated it was a "must own" CD. Michale Barone, in his review of Cooke's 2009 recording of the Kodály Solo Sonata, for Minnesota Public Radio Classical Show (25 March 2010), described Cooke's playing as "impassioned and exhilarating... Antony Cooke survives the challenge brilliantly!"