AFTER impassioned protests from prominent architects, preservationists and design critics, the Museum of Modern Art said on Thursday that it would reconsider its decision to demolish its next-door neighbor, the former home of the American Folk Art Museum, to make room for an expansion.

In a board meeting on Thursday morning, the directors were told that a board committee had selected the design firm Diller Scofidio & Renfro to handle the expansion and to help determine whether to keep any of the existing structure.

“We’re going to try to create the best building we can create,” Jerry I. Speyer, the real estate developer and MoMA chairman, said in an interview. “Whether we include Folk Art or not, as is, is an open question.”

That question, MoMA said, will be guided by the extension’s architects. “The principals of Diller Scofidio & Renfro have asked that they be given the time and latitude to carefully consider the entirety of the site, including the former American Folk Art Museum building, in devising an architectural solution to the inherent challenges of the project,” said Glenn D. Lowry, MoMA’s director, in a memo sent on Thursday to his trustees and staff. “We readily agreed to consider a range of options, and look forward to seeing their results.”