Look for the run of galvanized ductwork that makes up the exhaust pipe for your unit. On a countertop stove, the ductwork is in the cabinet below the stove and usually goes through the nearest wall.
Apply heat-resistant caulk to the seam between the inside wall and the exhaust duct with a caulk gun, if the seam is less than 1/4 inch wide.
Cut two pieces of sheet metal into 12-inch squares with a pair of tin snips, if the seam between the duct and the wall is more than a 1/4 inch wide. Cut a half-moon shape out of one side of each piece with the tin snips. The half-moon space left in the sheet metal should be half the diameter of the exhaust duct.
Apply a bead of heat-resistant silicone caulk on the bottom of each piece of sheet metal with a caulk gun. Position each piece around the kitchen exhaust vent pipe and press it down onto wall around the exhaust duct.
Apply a bead of heat-resistant caulk around the seam between the exhaust vent pipe and the sheet metal with the caulk gun. Go outside and apply a bead of caulk between the outside perimeter of the exhaust vent cap and the outside wall.