The drugmaker Regeneron said on Wednesday evening that it had submitted an application to the Food and Drug Administration for emergency approval of the experimental antibody cocktail that President Trump had praised just hours earlier without evidence as a “cure” for the coronavirus.

The company said that at first, access to the treatment would be extremely limited, with only enough doses for 50,000 patients, a far cry from the “hundreds of thousands” of doses that Mr. Trump said in a video released Wednesday he would soon be making available to Americans free of charge…

The news of Regeneron’s application on the same day that Mr. Trump effusively praised the unproven drug is likely to intensify fears that the president is pressuring federal health agencies to make decisions aimed at benefiting him politically. In the video, Mr. Trump repeated his desire to get a vaccine approved before the election, even though the vaccine makers themselves have said that is highly unlikely.