Can I cook gnocchi with sauce in the microwave?
I'm going to propose a different cooking method that's closer to cooking it on the stovetop; gnocchi when cooked wrong can be quite dense.  It's still edible, but it's not as enjoyable.


take your cooking vessel, and heat up your cooking liquid (I'd go with just water, as we don't know how much liquid it's going to absorb, and we don't want too runny of a sauce)
Float a toothpick in it, or something else microwave safe.  (note: this is for safety ... we need nucleation points so you don't get scalded in step #5)
Microwave on high 'til boiling**
Remove the toothpick
Add the gnocci
Microwave on high 'til boiling again
Microwave on low until floating.
Drain
Add sauce
Microwave to warm the sauce.


** as you said you had a combination water cooler/heater, you can start with hot water, and skip steps 2 through 4.