The designer, who was sacked by Dior in March 2011 after a racist and anti-semitic outburst in a Paris café, takes on a temporary residency at Oscar de la Renta's New York studio for the next three weeks, Vogue reports.
Galliano said: "I am grateful to Oscar beyond words for inviting me to spend time with him in the familiar surroundings of a design studio. His support and faith in me is humbling."
He added: "I am an alcoholic. I have been in recovery for the past two years. Several years prior to my sobriety, I descended into the madness of the disease. I said and did things which hurt others, especially members of the Jewish community.
"I have expressed my sorrow privately and publicly for the pain which I caused, and I continue to do so. I remain committed to making amends to those I have hurt."
[John Galliano arrives at a police station in 2011]
National director of the Anti-Defamation League Abraham H Foxman said: "Mr Galliano has worked arduously in changing his world view and dedicated a significant amount of time to researching, reading and learning about the evils of anti-semitism and bigotry.
"Along his journey to recovery he met with us on numerous occasions. He has accepted full responsibility for his previous remarks and understands that hurtful comments have no place in our society."
[John Galliano with Kate Moss]
De la Renta said: "John and I have known each other for many years and I am a great admirer of his talent.
"He has worked long and hard on his recovery and I am happy to give him the opportunity to re-immerse himself in the world of fashion and re-acclimate in an environment where he has been so creative."
The three-week residency comes as Galliano prepares for his upcoming New York Fashion Week show.
Galliano was found guilty of anti-semitic and racist behaviour following a racist abuse trial in France and was fined €4,000 (£3,506, $5,618) on one count and €2,000 (£1,753, $2,808) on the second charge. Both fines were suspended.
Following his dismissal from Dior, Galliano designed a sleeveless gown worn by Kate Moss for her 2011 wedding to musician Jamie Hince.
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