Step 1

Preparation Heat a large skillet (preferably cast-iron) over medium-high. Cook ham, adding 1/2 Tbsp. butter if ham is lean to help the browning process, until browned and fat has rendered, 2–3 minutes per side. Transfer ham to a platter.

Step 2

Pour coffee into the same skillet and cook over medium-high heat, scraping skillet with a wooden spoon to deglaze and loosen any browned bits. Add broth and sugar; simmer, stirring occasionally, until thickened and reduced to about 1/4 cup, 3–4 minutes. Add 1 Tbsp. butter and whisk until emulsified, about 1 minute more. Pour gravy into a small bowl or serving vessel and serve drizzled over or alongside ham.