I freeze summer squash all the time with no trouble. The texture does change somewhat, but not enough that it's nasty or anything. I just dice it up, steam blanch it, then toss it on ice to cool it fast. Then dry it off and lay it out on a pan covered with waxed paper, and stick it in the freezer. Once it's frozen, take it off the waxed paper and put it in freezer containers or bags. Then when you want to eat it, cook it while it's still frozen, rather than defrosting. You can cut slices, or cubes, or whatever you like to cook with. I like to make cubes that I can toss in a stir fry or a bean dish in small amounts.
Winter squash (acorn squash, spaghetti squash, etc.) doesn't freeze so well.
BTW, about the strawberries as mentioned, you can keep strawberries from too much texture change in the freezer by sprinkling them with just a bit of sugar before freezing, and eating them while they're still slightly icy.