I was just accepted. When I want to select an offer, it shows me the Search as the only acceptable traffic type. I would like to put banner on my site. What can I do?
Create your own banner using an image editor (ask your affiliate manager for permission first)... or find an offer that has Web Traffic on AzoogleAds, and usually they'll have banners for you to use.
During the application process, you were asked how you will be promoting AzoogleAds offers. You only selected Search, by the sounds of it. As the guys said above, contact your affiliate manager. S/He can activate web offers for you.