The attacker was killed by police after killing a 29-year-old man and injuring four others in a lively neighborhood near the Opera Garnier on Saturday night.
According to sources with knowledge of the case, the man attacked random people in the street. "He was only born in Chechnya, and his growing up, the formation of his personality, his views and persuasions occurred in French society".
"Our police forces have once again demonstrated their remarkable skill and capacity to intervene", he said on Twitter.
The assailant's father and mother are in custody for questioning by French police, a judicial source said on Sunday.
The Paris prefecture had earlier said a person had carried out a knife attack in the second arrondissement - or district - of the French capital.
France is home to some 30,000 people of Chechen origin. The investigators have yet to verify the claim. Anor 26-year-old woman and a man of 31 were slightly injured.
How did the events unfold?
The attacker began stabbing passers-by at about 21:00 local time (19:00 GMT) on the rue Monsigny.
"The eyewitnesses then told me police tried to tazer the attacker". The assailant was shot dead by police after carrying out the assault on Saturday evening.
"L'OM a mérité d'être dans cette finale" — Emery
Il y a besoin de temps, d'histoire, de s'adapter, de grandir pour aller loin et gagner la C1 . R Garcia n'avait pas été aussi lucide en se vautrant dans la démago de base avant PSG Real!
He said a woman the attacker had stabbed ran into into the restaurant bleeding. "This speed, calm and effectiveness allowed them to avoid. a much heavier toll", he told reporters.
Paris has been under higher security in recent years after a string of deadly Islamic extremist attacks.
"I consider it necessary to state that all responsibility for the fact that Khazmat Azimov went on the road of crime lies completely with the authorities of France", Chechen President Ramzan Kadyrov said. I also think of the injured and their families.
"The bartenders told us to come inside very quickly".
Jihadist groups, including those aligned with IS, have long operated in the region.
He was categorized in France as "fiche S", an indication used by law enforcement officials to flag people who may be a threat to national security, said another source close to the investigation. CNN adds that the suspect was later fatally shot by police.
IS has actively recruited fighters in Chechnya, sending hundreds to conflicts in Syria and elsewhere.
The attack sparked chaos as both residents and tourists in the city's popular opera district scattered in fear.
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