"I am thirsty!"
well, technically it is correct. In reality somebody used this last time in about 1874. It sounds like something you would only read in a historical novel. The same goes for "jsem hladov". If you used it in a restaurant, the waiter would likely laugh till he cries and than bring you something to drink.
Though correct I am hesitant to add as an acceptable answer simply because in real life is is non existent.
And, of course, It would be "Já jsem žízniv/hladov". Not "Já mám..."