To my understanding, the units are the same as the units of the raster you calculated. The tool calculates the number of pixels within each value (or class in your case) and multiplies it with the pixel size.
For example, if I have a raster with 25 m pixels, the results of the Tabulate Area -tool are in m2. If I have 10 pixels with value 1, 20 pixels with value 2 and 30 pixels with value 3 within the zone features, then the results are:
Zone ID | Value 1 | Value 2 | Value 3 |
1 | 10 * 25m * 25m = 6250 m2 | 20 * 25m * 25m = 12500 m2 | 30 * 25m * 25m = 18750 m2 |
Note that this does not necessarily apply to other tools.