Ian Bailey has been arrested in Dublin in connection with the murder of Sophie Toscan du Plantier in West Cork in 1996.
Mr Bailey was sentenced in absentia to 25 years in jail by a French court in May.
The High Court here endorsed his extradition today.
Ms du Plantier's body was found near a laneway not far from her holiday home just outside Schull two days before Christmas 23 years ago.
Mr Bailey, an English journalist who moved to west Cork in 1991, was arrested but never charged and has always denied any involvement.
Following previous unsuccessful attempts to have him extradited to France, another European Arrest Warrant was issued in June after he was convicted of voluntary homicide following a trial that took place in his absence in Paris.
The endorsement of this third warrant for his arrest paves the way for a full extradition hearing to take place at a later date.
As he left court on bail this afternoon, Mr Bailey was asked by reporters if he was surprised with today’s development.
He said "I knew it coming" and so "it doesn't come as a surprise to me".
He was granted bail and while his case will be mentioned again later this week, and a date for a full hearing will only be set for sometime in the new year.
Mr Bailey's solicitor said it was "an absolute outrage" that the High Court has paved the way for his client to be extradited to France.
He said: "The way in which our State is facilitating an endless persecution of Ian Bailey is, to me, leave aside the fact that I'm Ian Bailey's lawyer, just as a citizen of this country, I think it is an absolute outrage at this point in time."