Add shallots to the same pan and sauté 1–2 minutes until softened. Add garlic and cook 30 seconds.
Pour in chicken broth mixed with apple cider vinegar, scraping up browned bits. Simmer until reduced slightly.
Add remaining chicken broth and bay leaves. Simmer uncovered for 8 minutes.
In a bowl, whisk cream, mustard, and cornstarch until smooth.
Stir cream mixture into the pan along with any juices from the chicken. Bring to a boil, then reduce to a gentle simmer for 2 minutes. Remove bay leaves.
Return chicken to the pan, cover, and turn off heat. Let rest 5 minutes before serving.