The 7 year old passed away after the River Thames flooded his home in Chertsey in 2014.
An inquest ruled he died from carbon monoxide from a petrol pump used by his parents to remove water from their flooded home.
But Kye and Nicole dispute this and say their son was killed by gas washed out of a former nearby landfill site.
The Lord Chancellor, Alex Chalk, says he recognises that achieving justice through Inquests has failed in many instances.
He cited the Hillsborough families.
He has agreed to raise the call for an Independent Panel Inquiry for Zane with the Prime Minister’s Office.
