Meanwhile, pat pork* dry with paper towels; season all over with salt and pepper.
Heat a drizzle of oil in a large pan over medium-high heat. Add pork; sear, turning occasionally, until browned all over, 4-8 minutes. Turn off heat.
Once carrots have roasted 12 minutes, carefully add seared pork to empty side of sheet; wipe out pan. (For 4 servings, leave carrots roasting and add pork to a second sheet; roast on middle rack.) Return to top rack until carrots are browned and tender and pork is cooked through, 10-12 minutes more.
Remove from oven; let pork rest on sheet for 5 minutes. Sprinkle carrots with sesame seeds.
Swap in chicken* or salmon* for pork. Cook until chicken is cooked through, 3-5 minutes per side, or cook salmon (skin sides down) until skin is crisp, 5-7 minutes, then flip and cook until cooked through, 1-2 minutes more. (Skip roasting!) Transfer to a cutting board to rest; cook through remaining step as instructed.