I'm betting that they can.
Here's an idea that just popped into my head:
ChatGPT shows a sponsored entry in chat history list with a colorful border around it to get users to click. This product is something that ChatGPT knows the user desperately needs from previous chats. The user can chat directly with the product and learn more about it. The advertiser specifically sent OpenAI information (like a RAG) about their products buyers might have questions for.
When the user is ready, they can open a link to the product's website or just buy directly in ChatGPT.
They can also suggest chat topics. Like how Reddit ads are meant to look like threads. "Frustrated with food baked on dishes? Let's chat about it! (sponsored)"
Google Ads’ admin console is basically a dark pattern app built to consume your advertising budget with no effect.
OpenAI just has to be transparent and they’ll have 100% of our funding.
But the missing part is "we know they need this!" but they don't have the ad network to have the pixels on the vendor sites to track the conversion (or not for remarketing!). They only have half (at most) of the picture. This is why they tried to create a browser (remember that? Nope me neither) to try and get the full picture.
Advertisers are accustomed to pay for conversions now. If you can't track it, you cant prove it happened.
Open ai will need to spin up the entire infrastructure (Inc sales teams, support teams, servers etc) to run the ad network. Not impossible but it is a big lift and they're already burning money.
Their best bet is probably to just sign up for selling their ad space with Google, like all the other apps and websites do