Should I stop depreciating my rental property for this year if I see that in any case that depreciation will not generate any savings? I could then start it again later?

You cannot stop and restart depreciation deductions unless you actually take the rental property out of service.

If the property is still being used as a rental, the depreciation deduction for this year will be subject to recapture when the property is ultimately sold regardless of whether or not you took the deduction.