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. To help with melting, allow the shredded havarti and grated parmesan to reach room temperature before sprinkling over the potatoes.