It depends on the time frame in which you are allowing your cutting cycle and how intense the cardio is. Normally, 30 minute sessions at 4 days a week will be adequate and not excessivley catabolic.
In other words, if you're not trying to lose too much bodyfat too fast, and you clean up your diet appropriately, yes, that will be fine.
Just remember that a cutting cycle's effectiveness lies moreso in your diet, not on the treadmill.