Do affiliate links work in private browsing?

If we are promoting affiliate links of a affiliate network and if the customer is using incognito or private browsing mode while doing the purchase, will it be tracked as a sale from us?

Over and Out.
Thanks. And

Yes it will.

It depends - if this is S2S then yes, it will be tracked as the transaction ID is usally passed in GET parameters of the tracking URL. If this is Javascript then it may not be tracked because in incognito mode cookie is not properly recorded.