Hours Of Operations Quick Mart Arizona Tucson 85712 Quick Mart Hours of Operation and Location in Tucson, AZ 85712 4.4 - 50 votes 1204 N Alvernon Way, Tucson, AZ 85712 (520) 326-7271 Get Directions Quick Mart Hours Category: Grocery & Market Hours Hours may vary due to season or holiday reasons. For specific hours, please contact store directly. Map Explore TucsonView More Apparel Sam's ClubCostcoMarshallsTJ MaxxRoss Dress for Less Sports CostcoTargetSports AuthorityNew BalanceBig 5 Sporting Goods Jewelry Sam's ClubCostcoMarshallsHobby LobbyBurlington Coat Factory Recommend For You L'Occitane DSW Carter's Babies & Kids Styles for Less Cole Haan Fleet Feet Sports Melrose Tiffany & Company Ultra Diamonds Tommy Bahama