Legally, parody is a defense, not a permission slip. While you can make the game, using "Minecraft-looking" assets puts you at risk of a copyright or trademark lawsuit if the similarity is too high.
To stay safe, consider these points:
Transformative Use: Your game must mock or comment on Minecraft specifically, not just use its aesthetic to look "cool."
Original Assets: Create your own textures and code; do not rip files directly from the original game.
Confusion: Ensure players won't mistake your game for an official Mojang/Microsoft product.
Consult a lawyer if you plan to sell it, as companies are often aggressive about protecting their IP.