Slice carrots on the diagonal (more surface area allows for quicker cooking). Carrots should be about 1/8 inch thick.
Heat 1 tbsp olive oil and 1 tbsp water in a small cast iron pan.
Once the oil and water is hot, add carrots to the pan. Season with salt and pepper and saute on medium high for about 4 minutes.
Add garlic (the pan should still be quite hot at this point).
Allow the carrots and garlic to cook together for a few more minutes, until carrots are tender, about 2 minutes. Make sure the garlic doesn't burn.
While carrots and garlic are cooking, chop your basil. I like to cut it into a chiffonade—stack 5 large basil leaves together, roll them up, and then cut into pieces.
Once the carrots are tender, turn the heat down to low. Add basil and cook for another 30 seconds until wilted. Take the pan off the heat immediately.
Taste, season with more salt if needed, garnish with more chopped basil, and serve!