American Airlines offers non-stop service to Paris, and has for several years. With their connections from many other U.S. cities in the Southwest, they are a good choice for travel to Paris.
However, if you were connecting to other French cities it was often thought more convenient to fly on Air France. Unfortunately you either had to connect through Atlanta (using Delta, Air France’s partner) or drive south to Houston to take Air France non-stop to Paris.
Beginning March 31, 2019, Air France began offering three flights a week (Wednesdays, Fridays and Sundays) until June 30, when they will expand to five flights per week (daily except Tuesday and Thursday). Then after the summer, they will go back to three flights weekly from September 4 through October 25. The airline will drop back to thrice-weekly service from Sept. 4 through Oct. 25.
After that, we don’t know if they will continue service from DFW….it will naturally depend upon the traffic they get during what is apparently a trial period.