[4] Backed by his band, the Small Clubs, Parker supported the album with a North American tour.

[18] The Sun-Sentinel noted that "there is a warmness to the roots music on Burning Questions, and intelligence in the lyrics.

"[19] The Kitchener-Waterloo Record wrote that "Parker has become more willing than ever to expose his hard-edged romanticism, as the superb 'Oasis' and the moving 'Worthy of Your Love' attest.

"[27] The Chicago Tribune concluded that "Parker still may be ticked off at the world, but it sounds like everybody else in the studio is just punching the clock.

"[28] The Philadelphia Inquirer considered Burning Questions to be one of the best albums of 1992, writing that the music "is his punchiest and most soulful accompaniment in years.