If your affiliate network does not allow push notification traffic, the first step is to double-check the terms and conditions or ask your affiliate manager directly to be sure. Some networks are strict about traffic sources to protect their reputation with advertisers. If push traffic is not accepted, it's better not to take the risk because you could lose your account or any pending earnings. Instead, you can consider other networks that allow this type of traffic. There are many affiliate networks out there that accept push notification traffic and even offer special offers for it. You can also look for CPA networks that focus on push-friendly verticals. Another option is to build a list and direct traffic to a landing page that collects emails or gets users to take an action, then promote the offer through another method. Have you come across a network that accepts push traffic?