"I don't know that there's a legislative remedy on how parties conduct themselves and how they're supposed to be neutral in primaries," Ryan told "Fox News Sunday" in an interview taped on Friday.
"Whether they broke campaign finance laws should be something that the FEC, the Federal Election Commission, should have to look into, but we don't legally regulate how the parties set up their bylaws."
Former interim DNC Chairwoman Donna Brazile outed the Clinton campaign in an excerpt of her forthcoming book, published by Politico, in which she outlined the deal that allowed the campaign to take control of the DNC's finances and operations in a manner which she said "sure looked unethical."
Ryan said he understood why Democrats were "ticked off" to learn about the arrangement.
"I've never seen anything like that," Ryan continued. "We all said the Clintons thought they lived above the rules, but this takes the cake. This is pretty amazing. For them to basically be running the DNC in a primary, to see such a deck stacked is really pretty jaw-dropping to me."
Ryan added the Clinton campaign's alleged involvement in funding of the infamous Trump-Russia dossier was also a development uncovered by the House's investigation into Kremlin interference in the 2016 election.
The House also would not disrupt special counsel Robert Mueller's Russia probe, Ryan said.
"I've said all along we need to let these career professionals do their jobs, see it through, so no I don't think he [Mueller] should be stepping down, I don't think you should be fired and the president has made clear he's not going to do that," Ryan said.