Wash and dry the fabric. Lay out on a surface and paint a medium layer of Mod Podge on the fabric (completely covering). Let dry.
While the fabric is drying, spray primer the suitcase to prepare for fabric (optional). Measure the suitcase and cut the fabric to generally the right size.
On the hardware side of the case, use a craft knife or hole punch to cut out the recessed areas as well as the logo.
Working in sections, apply Mod Podge to coat the suitcase, and cover with pre-cut fabric. Smooth out the wrinkles out to the edge. Let dry.
Use Mod Podge to adhere any areas of fabric that didn't adhere. Let dry and add a second coat of Mod Podge to the suitcase.
Use a craft knife to trim around the edge and remove any excess fabric that you didn't get before. Add a final coat of sealing Mod Podge and let dry 24 hours before using.