Russell, 24, was taken off early in the second half of Saturday's Six Nations win at Murrayfield following a collision with Robbie Henshaw.
However, he was cleared to continue after a head injury assessment (HIA), as Duncan Weir returned to the bench.
The influential playmaker has since passed a final assessment.
Russell's former Glasgow Warriors team-mate Weir proved to be a reliable deputy in his seven minutes on the Murrayfield pitch against the Irish, but Scotland head coach Vern Cotter will no doubt be relieved to have such a key player at his disposal for the trip to Paris.
His performances for the Warriors have attracted interest from French Top 14 clubs Toulon and Montpellier in France and from Bath and Gloucester in England.
Russell suffered a concussion during Scotland's 29-18 victory over France at Murrayfield last year, missing the final Six Nations match against Ireland.
He also sustained a severe head injury in Warriors' Pro12 semi-final at the tail end of last season, which ruled him out of Scotland's summer tour to Japan, making his return to action in mid-September.
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Mid and West Wales fire service and the RNLI have issued advice as they predict a busy bank holiday weekend.
It includes supervising children, not using inflatables in strong seas and swimming only at beaches patrolled by lifeguards.
RNLI lifeguard manager Phil Davies urged people to heed their advice.
"We want people to enjoy our beautiful coastline, but make sure they do it safely," Mr Davies said.
"Conditions can change quickly at the beach, so it is really important to respect the water and take extra care when visiting the coast."
Steve Davies, of Mid and West Wales Fire and Rescue Service, added: "We cannot stress enough just how dangerous the sea can be, and how your life could change in a second.
"We want you to enjoy the wonderful beaches that the Welsh coastline has to offer safely and incident free this weekend."
Safety advice includes:
Lifeguards will patrol beaches at Camber Sands, in Sussex this weekend after five friends died during a day trip to the coast.
Their deaths on Wednesday come after six others died around the UK coast last weekend.

Emma West, 36, of New Addington, admitted racially-aggravated disorderly behaviour likely to cause harassment or distress at Croydon Crown Court.
West was filmed shouting racist abuse at passengers travelling on a tram between Croydon and Wimbledon.
She was bound over to keep the peace and handed a 24-month community order.
A judge said West was clearly suffering from mental health problems at the time of the outburst.
She received a mental health treatment order for assaulting a constable in a separate incident.
The court heard she was "reeking of alcohol" when she carried out the verbal attack.
Prosecutor Julius Capon said: "She in essence persecuted a number of passengers on the tram, subjecting them to some disgusting racial abuse."
The things she said included "you're not English", "none of you are English" and "get back to your own countries".
Mr Capon said many of the passengers were "upset" by West's behaviour.
"Some of them described themselves as being disgusted, shocked and horrified," he said.
David Martin-Sperry, defending West, said the defendant's offending was out of character, she was taking anti-depressants and she does not harbour any racist views.
Mr Martin-Sperry said she had unwittingly taken two and a half times the recommended dose and drunk a large glass of wine before launching the tirade.
Scotland fly-half Finn Russell has been cleared to train ahead of Sunday's game against France after recovering from a head knock sustained against Ireland.
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Beachgoers have been urged to stay safe on the coast this weekend following 12 sea deaths around the UK in the past week.
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A woman who was filmed shouting racist abuse on a London tram in a video watched by 11 million people has been given a community sentence.