"We have responded to the FIA's 'call for expression of interest' regarding a Formula One entry on behalf of Haas Racing Development," the Stewart-Haas co-owner said.
"We respect the FIA's evaluation process and will share more details in the coming weeks."
The governing International Automobile Federation said in December it was seeking by January 3 formal expressions of interest from would-be new teams.
Full applications have to be submitted by February 10 with a decision due on February 28.
Formula One last admitted new constructors in 2010, with a US F1 team initially accepted but later removed from the entry list when it became apparent they were not in a position to race.
That failed team was led by Ken Anderson, a former technical director of Haas CNC Racing which was the previous name of Stewart-Haas.
Formula One media reports indicated Haas, who owns a full-scale rolling road wind tunnel in North Carolina, is working with former Red Bull and Jaguar technical director Guenther Steiner on the latest project.