Kenny was a member of the last Scottish side to win on French soil in 1999 as they ran in six first-half tries en route to a 36-22 win and the title.
Kenny thinks Matt Williams' men are capable of springing a surprise at the Stade de France but admits if they keep the score respectable it would be a big step-up after the 31-0 mauling at Murrayfield last season.
Kenny says in today's Sunday Mail: "We'll go into the match as underdogs but the players will have been upset by the on and off-field troubles and some of the stick they've taken from ex-players. They'll be concentrating on the game because what they do on the field is the only thing they can control.
"I don't think they'll win but they've a chance of doing well and will maybe surprise a few people. However, it's hard to see them turning it around after being so badly beaten last year.
"If Scotland can keep France close for 60 or 70 minutes that would be a successful outcome.
"What we don't want is for the game to be over at half-time. They'd be over the moon if they could keep it to seven points.
"When France are up for it they can really turn it on but in their last game they were spanked 45-6 by New Zealand.
"The key for Scotland is to get into them straight from the off because the French fans can turn against their team so quickly.
"Our supporters won't turn on the team the way the French do. They'll expect to beat us by a big score and if it's not happening they will start booing.
"But Scotland have to look up for it right from the off because in the last game against South Africa the players seemed tired.
"And that's not the players fault. It's down to the coaches to make sure they've prepared them well and to ensure they work hard and are up for it."