In a blender or mini food processor, combine the crème fraiche and basil until smooth. Set aside for 2 hours to allow the flavors to infuse.
In a skillet, sauté the chicken breast in the butter and oil until fully cooked. Set aside and keep warm.
Pour wine into skillet to deglaze pan, scraping up any browned bits. Reduce wine by half.
Stir in basil cream, zest, reserved chicken (and any of its accumulated juices), stirring until sauce is warmed.
The basil will start to lose its vibrant green color the longer it is heated, so be sure to serve the dish immediately over a bed of cooked rice vermicelli or steamed rice.