On Friday, Gonzalez said units found a small damaged aircraft in the 18000 block of Clay Road near Barker Cypress.
The 1977 Mooney crashed upside down on the eighth hole of Pine Forest Country Club, deputies say.
Authorities say the plane was coming from San Antonio and had planned to land at the West Houston Airport.
Life Flight was called to the scene to aid the two people. Authorities say it took more than an hour to get the man and woman out of the plane due to it's positioning.
"Both are alive but injured," Gonzalez tweeted.
The cause of the crash is currently unknown. The National Transportation Safety Board is conducting an investigation.
For more news updates, follow Courtney Carpenter on Facebook, Twitter and Instagram.