Break up white chocolate into about 6 pieces and place in a microwave-safe dish. Microwave on high for 1 1/2 to 2 minutes, stirring every 30 seconds, until melted and smooth. Dip pretzels into the chocolate and lay on wax paper to dry.
Melt butterscotch chips in the microwave repeating instructions for the chocolate. Spoon melted butterscotch into a plastic zipping bag; snip off a corner. Drizzle butterscotch over pretzels.
Let pretzels set for a few hours, or overnight if packing into gift bags.