The boy was seriously injured at Johnsons of Old Hurst, near Huntingdon, on 18 June. He remains in hospital in a stable condition.
His family said: “We would like to thank the staff at the zoo who rescued our son from the enclosure.
“We are truly grateful for the public support and well-wishes we have received, as well as to everyone who has been directly involved in our son’s care and recovery in hospital.
“Our attention remains focused on his recovery and supporting him through this extremely challenging and prolonged period of time.”
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