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Step 1
In a large, wide skillet (large enough to fit the ham) over medium-high heat, cook the ham until tender and lightly browned (typically 2-4 minutes per side, until desired doneness). Set ham aside on a covered plate to keep warm.
Step 2
Reduce heat to medium, then add butter; allow to melt. Sprinkle in flour and cook, whisking constantly, until mixture turns the color of peanut butter, about 5 minutes.
Step 3
Slowly pour a small amount of bone broth in the skillet, continuing to whisk constantly. Once the bone broth has been absorbed, pour in a little more and again whisk until absorbed. Repeat this step until all bone broth has been added.
Step 4
Continuing to whisk, slowly pour in coffee until gravy is smooth.
Step 5
Season gravy with sugar and salt, then whisk well.
Step 6
Allow gravy to cook, whisking occasionally, until it begins to thicken and bubbles start to form. Remove gravy from heat.
Step 7
Serve red eye gravy immediately, drizzled on top of the cooked country ham steak.