Earlier, Trump took to Twitter to urge his followers to tune into Pirro's show, saying: "Watch @JudgeJeanine on @FoxNews tonight at 9:00 P.M."
In public statements since the bill's collapse, both Trump and Vice-President Mike Pence have continued to support Ryan as speaker.
The White House did not respond yesterday to questions about whether Trump knew what Pirro was going to say.
Today, during an appearance on Fox News, White House chief of staff Reince Priebus called Trump's tweet and Pirro's call for Ryan to step down "coincidental".
"There is no preplanning here," Priebus said, adding that Trump promoted Pirro's show on Twitter "because he loves Judge Jeanine" and wanted to do her a favour.
Trump "doesn't blame Paul Ryan" for the defeat of the Affordable Care Act overhaul, Priebus said. "He thinks Paul Ryan is a great speaker of the House."
Pirro said there had been no coordination with Trump in her messaging.
"When he tweeted, 'Watch Judge Jeanine tonight,' he and I had absolutely no conversation, no discussion, no email, nothing," she said.
Today, a spokeswoman for Ryan said his relationship with Trump has not been damaged.
"The speaker and president talked for an hour yesterday about moving forward on the agenda, and their relationship is stronger than ever right now," AshLee Strong said.