There had been concerns in the Swiss camp that he would be unable to compete after injuring his back playing in London last weekend.
But the draw announced yesterday afternoon sees him go up against Gael Monfils in the second of the opening two singles rubbers.
French number one Jo-Wilfried Tsonga plays Stan Wawrinka in the opening match.
The doubles tomorrow opposes Julien Benneteau and Richard Gasquet of France against the Swiss pairing of Marco Chiudinelli and Michael Lammer.
Sunday's reverse singles will start with Tsonga against Federer to be followed by Monfils versus Wawrinka.
He was unable to train at the indoor claycourt in Lille which is hosting this year's final on Monday and Tuesday.
But he had a short practice session on Wednesday evening and did so again on Thursday morning just before the draw was made.
The 17-time major title winner has never before appeared in a Davis Cup final and he has made winning the trophy for Switzerland for the first time a priority.
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