"I'm thrilled for Zillow to host this discussion and help connect U.S. homeowners and renters with the President for a better understanding of how housing policy can impact their future," Rascoff said in a statement. 

"As the President tours the country talking about economic policy, and discusses housing in particular this week, this is an apt time for consumers to ask the questions that are important to them. We are excited to be able to use social media to open this virtual roundtable to Americans across the country."

Obama's homeownership speech Tuesday in Phoenix is the latest in a string of economic events designed to build momentum ahead of autumn's battles over the federal budget and debt ceiling. In each, Obama has claimed credit for the economic recovery and argued that Congress should adopt his economic policies to sustain growth.

"The President will lay out his plan to continue to help responsible homeowners and those Americans who seek to own their own homes as another cornerstone of how we can strengthen the middle class in America," White House press secretary Jay Carney said last week.

Republicans have roundly rejected the president's economic proposals, depicting the president as unwilling to compromise and advocating for expanding the federal budget at a time that austerity is needed.

“Sometimes it just seems that this administration never misses an opportunity to miss an opportunity to grow this economy,” Sen. Pat Toomey (R-Pa.) told reporters last Tuesday. 

— Bernie Becker contributed