Bulk water presents a large number of crystalline and amorphous ices. Hydrophobic nanoconfinement is known to affect the tendency of water to form ice and to reduce the melting temperature. However, a systematic study of the ice phases in nanoconfinement is hampered by the computational cost of simulations at very low temperatures. Here we develop a coarse-grained model for a water monolayer in hydrophobic nanoconfinement and study the formation of ice by Monte Carlo simulations. We find two ice phases: low-density-crystal ice at low pressure and high-density ice at high pressure with an intermidiate hexatic phase, an phase between liquid and ice.