Line a baking sheet with parchment paper.
Spread the pretzel sticks evenly across the lined baking sheet.
In a microwave-safe bowl, melt the white chocolate chips in 30-second intervals, stirring in between, until smooth.
Pour the melted white chocolate over the pretzel sticks, using a spatula to spread it evenly.
In separate bowls, melt the red and blue candy melts in the same manner as the white chocolate.
Drizzle the melted red and blue candy melts over the white chocolate-covered pretzels in a zigzag pattern.
Immediately sprinkle the red, white, and blue sprinkles over the top while the chocolate is still wet.
Place the baking sheet in the refrigerator for about 30 minutes to allow the chocolate to set.
Once set, break the bark into pieces and serve.