Well if we're talking black black. My hair is black. It might be hard to lighten especially if your hair is thick and you don't wanna bleach too much with a lot of colors. Red is also a harsh colour. I wanted to be a redhead and I found its a little more work to maintain. Just one of those colors that it's best to leave to people who are naturally red.
If you feel good about it then do it. Going from black or really dark brown is a perfect base for red hair color. You will have to bleach your hair. If you aren't going to have this done then you get tips on how not to get hot roots. You can PM if you are interested. Good Luck! :-)
I wouldn't do it if I was you, but I'm not you so, well... do what you want. Though, don't forget it isn't because that suits someone else who had black hair that it will suit you. For example, if you're tan, it won't suit you at all. Plus, if you have very black hair, dyeing your hair will damage it a lot more than if you had lighter hair.