I'd be surprised if even saying this didn't have political ramifications. There's nothing, besides; military budget, tax breaks to millionaires, and their own pay raises, that would get through both houses of Congress right now.
Asking nicely is at least virtue signaling, maybe it'll be something we can address if a couple R's ever see the consequences of their illegal actions.
He could threaten to cancel federal contracts with any vendor found to be price gouging. That would have actual ramifications and doesn't require Congress.
The president isn't powerless here. He just wants credit for purely performative actions.
The price gouging is mainly coming from consumer facing markets, not government contracts. Even with discretionary spending there isn't that much that pure executive branch actions can do to dissuade the price gouging that we've been seeing.
In presidential systems like the US has legislation originates from congress. The President only has veto power over legislation, and controls the enforcement of existing legislation. They can't force congress to create new legislation, though of course they can propose legislation (anyone can do that). This is very different from parliamentary systems where the Prime Minister is the head of the majority party of the parliament, and can thus directly propose legislation and get their party to support it.