Melt butter in a medium saucepan over medium heat and add the garlic. Saute for 30 seconds; then whisk in the flour forming a roux.
Gradually add the chicken broth, whisking as you are pouring so as not to form lumps.
Next, add the lemon zest and juice, chives, and thyme. Bring to a boil then allow to simmer for 5 minutes until slightly thickened. Season with salt and pepper.