When time is tight: Toss the potato slices with 3 tablespoons water in a microwave-safe bowl. Cover and microwave on high until crisp-tender, about 2-3 minutes. Drain potatoes. Prepare the remaining recipe as directed; check the potatoes for doneness after grilling for 12-15 minutes.
Shred or grate cheeses when cold for easier handling. However, to help with melting, allow both the shredded havarti and grated parmesan to reach room temperature before sprinkling over the potatoes.