Hello and Welcome to Hobby Talk.Did you also replace the spark plug with one properly gapped? I just repaired a Briggs with no spark and the plug was shorted out internally.When you replaced the coil,did you set the air gap between the flywheel and coil to .012? A business card is the correct thickness.Here is a link to the service manual to help you.
Make sure you have the coil/module installed correctly. They can be installed upside down and will not work. Most are marked "This side out" or "Cyl Side" or something that describes the proper orientation.