Speaking through a translator he added he was very grateful for all the people who had shown interest in him.
Another boy from Iraq, 15-year-old Ahmed Mohammed - who lost a foot and a hand - is with Ali for similar treatment, and he also spoke.
He said he was very grateful to the British people, the medical team in Kuwait, and all the friends he left behind there.
Bomb killed Ali's parents
Like Ali he is very keen to have his new limbs fitted, and the translator said he wished peace, love and prosperity to the British people.
Ali became well known during the war when a bomb struck his family's home, killing many of his relatives including both his parents.
He was flown to Kuwait to be treated for burns, and has now flown to the UK to be fitted with false arms worth around £20,000.
There are many other children in Iraq who were injured in the war, and charities are calling for more to do be done for them.
They say that very few injured children get the kind of treatment that Ali and Ahmed are getting, and they need more to be done inside Iraq to help them get better.