Now offering FREE High-Speed Internet Access in ALL rooms. The La Quinta Inn-Odessa is southeast of Odessa, just ten miles from Midland International Airport. Odessa is home to the Confederate Air Force Ghost Squadron. Visit the Noel Art Museum and the Presidential Museum. Spend a day on 70-foot tall dunes at Monahans Sand Hills Park, then cool down at the indoor Ice Rink. The third largest Meteor Crater in the United States is here as well as the largest jackrabbit in Texas!