This requires a little prep work, and adds a (small amount of) sodium to your diet, but you can make a bunch in advance on sat or sun and have your chicken breasts ready for the rest of the week, tastes great too. I'm assuming boneless skinless chicken breasts here.
We're using thawed chicken breasts. Cut off the tenderloin piece, it's too small to do this, set that aside for some soup or chili or hell, skewer them with some peppers and onions with a pinch of salt. Pound the chicken breasts down to 1/2 inch thickness. Make a brine solution: 1 gallon of cold water (salt doesn't dissolve any faster in hot water) stir in 3 tablespoons of table salt (or 1/2 cup if you use kosher, it's flat and you need a lot more to get the same amount of NaCl) and stir the crap out of it to get the salt to dissolve. If you are big on presentation, you can add 1/2 cup of sugar to the brine, which makes the chicken come out a nice brown color, but if you're loath to use refined sugar in your diet (the actual amount that ends up on the chicken is so small you don't taste it, it's just for color), you can omit the sugar and the chicken will still come out nicely, it just won't brown as well. Now, pour the brine into a large roasting pan or two and set the chicken in the brine and leave out at room temp You could use ziplock bags if you have any big ones as well. The chicken must be fully covered in brine. This sits for half an hour minimum, but you don't want to go over an hour or the salt in the solution will start to make the chicken less firm.
While the chicken is brining, you're going to build a very hot charcoal fire in your grill. Briquettes don't get hot enough, so we're going to use lump charcoal. I can get it here at the grocery store, but in places I've lived in the past, I had to go to places like Lowes, Home Depot, or 84 Lumber to get it- basically any big home improvement store will have lump charcoal. It looks like black wood. Take the lump charcoal and fill up the grill, like beyond what you would be using for a regular backyard bbq. You want those coals just under your grate, don't be afraid of overfilling your grill for this. As long as you can get the grate on properly, you're good. Light up the grill and by the time your grill is ready, your chicken will be done brining.
Hopefully, you prepped a lot of chicken (the brine recipe can be doubled or halved or whatever, just keep the proportions equal) because this cooking process is quick. You might lose some of the hair on your fingers/hands from this if you don't have real barbecue tongs. Those ones that fit in your kitchen drawer are going to have you cussing up a storm if you try to use them for this. Take the chicken straight from the brine and without shaking the brine off or dripping it of, drop the dripping wet chicken breasts onto the grill. Wait 1 and a half to 2 minutes and turn them over. 1 and a half to 2 minutes more and they're done and you can put the next batch on.
One of the things I always disliked about boneless skinless chicken breast is that it isn't very flavorful. It's great for you, and has an awesome texture, but the taste just isn't enough. This method of cooking fixes that. The super high heat on the grill sears that chicken and the fact that you're cooking over lump charcoal made out of real hunks of wood gives a nice flavor all throughout the meat. The brining makes the chicken really juicy. Now you have a bunch of grilled chicken breasts that you can chop up and put onto your salads or eat as they are with a side of brown rice and a sweet potato or however you like your chicken meals. If you absolutely need a strong flavor to your chicken, before brining, use a dry rub with some cayenne or lemon and garlic or something and rub it into the chicken before brining. Use a little bit more (but not too much) than you would normally use, as some of it is going to wash away in the brine, but I find I don't need any flavoring added with this