We have measured NMR spectra of the He-3-A phase restricted between parallel plates under rotation at a speed of Omega < 6.28 rad/s, using a rotating cryostat at ISSP. The sample volume was divided by the plates into 110 disk-shaped spaces, each with a thickness of 12.5 mu m and a radius of 1.5 mm. They were connected to a bulk superfluid through 0.3 mm-wide channels. Measurements were done by continuous wave (cw) NMR at 869 kHz. The axes of both H and Omega were perpendicular to the parallel plates. We observed a very narrow spectrum with a negative frequency shift, an indication that the gaps and the superfluid texture were well designed.