Mr Gassama arrived in France previous year.
The child was rescued by 22-year-old Mamoudou Gassama, an undocumented Malian migrant. "It is only right that the nation be grateful", Macron told the 22-year-old, before telling him his immigration status would be "put in order", reports Agency France-Presse.
Gassama told Macron during a visit on Monday that he "did not think twice" before springing into action.
He personally thanked Mr Gassama, gave him a medal for courage and said he would also be offered a role in the fire service.
Reacting to Gassama's intervention on Antenne Reunion radio late Monday, the woman, who was not identified, said: "We can only thank him and thank heaven he was so reactive". "I have also invited him to apply for citizenship".
A Malian migrant who saved a four-year-old child hanging from a fourth-floor Paris balcony after scaling the building with his bare hands was honored by French President Emmanuel Macron on Monday and offered citizenship.
Hidalgo said Gassama told her that he arrived from Mali a few months ago and wished to stay in France.
Video shows him quickly climbing to reach the child, cheered on by onlookers, resulting in people calling him a real-life spiderman.
Gassama said he began to tremble with fear only when he took the child into the apartment.
Paris prosecutor François Molins told the BFM television network that the father of the child had gone grocery shopping but was delayed in coming home as chose to play the smartphone game after leaving the store.
"On Saturday night Mamoudou Gassama performed what everyone is France is describing as an act of extreme bravery", says euronews correspondent Anelise Borges.
The father of the rescued child was arrested by Paris police and is being questioned about leaving his son unattended. When I took him in my arms, I spoke with him and asked: "Why did you do that?", But he did not answer'.
He is scheduled to appear in court in September for parental neglect.
In a statement the fire department said Gassama embodied the values of the service, adding: "We are ready to welcome him on board!"