Born in Houston, Texas, to Dick Hoskins Gregg and Katharine Parker Gregg, F. Parker Gregg received his bachelor’s degree from The University of Texas at Austin in 1966.  After receiving his M.D. from The University of Texas Medical Branch at Galveston in 1970, Gregg completed post graduate residency training in diagnostic radiology at The University of Texas M.D. Anderson Cancer Center in Houston from 1971 to 1974. Gregg served in the U.S. Navy Medical Corps from 1974 to 1976. 

A resident of Houston, Gregg currently practices part-time at Kelsey Seybold Clinic.