Prepare the spice rub by mixing paprika, garlic powder, salt, and pepper in a small bowl.
Pat the chicken dry with paper towels, then rub the spice mixture all over the skin, ensuring even coverage.
Stuff the cavity with lemon quarters, garlic cloves, and rosemary sprigs for aromatic flavor.
Open the beer can and pour out or drink half to make space. Place the chicken upright on the can, ensuring it’s stable and balanced.
Brush the outside of the chicken with oil to promote crispy, golden skin, then place it on the preheated grill set to indirect heat around 375°F.
Close the grill lid and cook the chicken for about 75-90 minutes, or until the internal temperature reaches 165°F in the thickest part of the thigh. Keep an eye on flare-ups and adjust heat as needed.
Carefully remove the chicken from the grill using tongs, and let it rest for 10 minutes so the juices redistribute.
Gently remove the chicken from the can and transfer to a serving platter, revealing crispy, crackly skin and tender meat.
Carve the chicken into pieces and enjoy the smoky, juicy flavor with crispy skin in every bite.