The advanced molybdenum-based rare process experiment (AMoRE) aims to search for neutrinoless double beta decay (0nu beta beta ) of ^{100}Mo with sim 100,hbox {kg} of ^{100}Mo-enriched molybdenum embedded in cryogenic detectors with a dual heat and light readout. At the current, pilot stage of the AMoRE project we employ six calcium molybdate crystals with a total mass of 1.9 kg, produced from ^{48}Ca-depleted calcium and ^{100}Mo-enriched molybdenum (^{48{{text {depl}}}}hbox {Ca}^{100}hbox {MoO}_{4}). The simultaneous detection of heat (phonon) and scintillation (photon) signals is realized with high resolution metallic magnetic calorimeter sensors that operate at milli-Kelvin temperatures. This stage of the project is carried out in the Yangyang underground laboratory at a depth of 700 m. We report first results from the AMoRE-Pilot 0nu beta beta search with a 111 kg day live exposure of ^{48{{text {depl}}}}hbox {Ca}^{100}hbox {MoO}_{4} crystals. No evidence for 0nu beta beta decay of ^{100}Mo is found, and a upper limit is set for the half-life of 0nu beta beta of ^{100}Mo of T^{0nu }_{1/2} > 9.5times 10^{22}~hbox {years} at 90% C.L. This limit corresponds to an effective Majorana neutrino mass limit in the range langle m_{beta beta }rangle le (1.2-2.1),hbox {eV}.