"For us, this article is a measurement of social equality."
Supporters of the change claim that using gender-neutral language on school documents relating to parents is a natural step after the country legalised gay marriage six years ago, The Telegraph reported.
Federation for the Council of Secondary School Parents praised the government for encouraging equality for all parents.
"It echoes the (recent) law on fighting harassment because often situations of child harassment target kids who don't fit the current criteria," the organisation said.
But not everyone was impressed with the amendment, with conservatives and Christian groups arguing the phrase parent 1 or 2 "dehumanises" parents.
A number of conservative MPs denounced the change, calling the amendment "frightening" and claiming it disrespected heterosexual parents.
"When I hear people say this is an old-fashioned model, I would remind people that today among unions celebrated, civil or marital, some 95 per cent are man-woman couples," MP Xavier Breton said.
This isn't the first time the idea of replacing the words mother and father with more inclusive language has been suggested.
The subject was raised during the 2013 debates held before same sex marriage was legalised in France, though no legal change came from it at the time.
There are fears that the new titles could pit couples against each other over who gets to be parent 1.
It isn't just right-leaning groups that have concerns over the consequences this change could have, with AFDH, the French association for same-sex parents claiming it could create a
"parental hierarchy".
While the AFDH welcomes more inclusive language in schools, the organisation's president Alexandre Urwicz, pointed out that the change had the potential to cause unnecessary rifts between parents.
"Who is 'parent number 1' and who is 'parent number 2'?" Mr Urwicz asked.
He suggested that instead of getting rid of mother and father completely another option, like "legal representative", should be available on forms.
The amendment is part of a wider law that also makes school attendance mandatory for all three year olds.
There is still potential for the change to be rejected by the majority-Senate and if this happens it would return to France's National Assembly for further consideration.