The frustrated Johnson - whose side take on Les Bleus in Paris on Saturday night - hinted that he believes the rest of their RBS 6 Nations opponents have "played games" with the officials during the set-piece contests.
Johnson's comments come after the Dark Blues conceded 16 penalties during their 28-18 defeat to Wales at Murrayfield last Saturday.
Red Dragons full-back Leigh Halfpenny was able to kick 23 points for his side as a result of Scottish misdemeanours, with South African referee Craig Joubert especially pedantic about how the scrum battles were set-up.
He also suggested he has been unhappy with the way matches against England, Italy and Ireland were handled.
But Johnson says this weekend's meeting at the Stade de France should see no repeat.
He told Press Association Sport: "Here we are, finally, getting to round five of the tournament - round five - and we have finally got a team that wants to scrum. We've finally got one.
"I can't wait, bring it on. A quality opposition against a side who wants to be competitive at the scrum rather try to spook referees and play games.
"We have refused to do that and consistently we get penalised. It's the bane of my existence."
Johnson has made two alterations to his starting line-up for the jaunt across the Channel, with debutant Grant Gilchrist of Edinburgh replacing injured lock Richie Gray, whose hopes of a place in the British and Irish Lions party that will travel to Australia this summer looking dashed by a hamstring injury.
The other change sees Perpignan's Al Strokosch return in place of Rob Harley at flanker, but it is the inclusion of Gilchrist that most excites Johnson.
He said: "The loss of Richie has given us the opportunity to play a lad that we think is one for the future. I've got a lot of time for Grant Gilchrist.
"He provides a bit of impetus that I think Scotland are missing. he's a big, tough kid and we're really looking forward to playing big, tough opposition.
"Al Strokosch comes in because we feel he knows the game a bit in France but also because he brings a maturity that we feel we need around the forward pack.
"We would have liked to have got Gilko in earlier. The fact is that we haven't been able to - he's been injured.
"But there's part of me that thinks I have got to get some mileage on the clock with this lad if we are thinking about going forward towards the World Cup.
"So if we didn't do it now, we would miss an opportunity, and this is a perfect opportunity to start the lad and against some quality opposition. We didn't want to half cook this. We can't buy this opportunity.
"We're not expecting him to go out and not do the job, by the way. We have got full confidence in his ability. Probably in two years' time, everyone else in the world will. We have got high hopes for him."
While the Scots face the realistic prospect of finishing second in the table just 12 months on from their five-defeat whitewash in Andy Robinson's final Six Nations campaign, France need a home win to avoid their first Wooden Spoon since 1957 after picking up just a single point in four games so far.
The visitors have not triumphed in the French capital since 1999 but Johnson is in confident mood.
He said: "France? Wounded animals, aren't they? They are big beasts. A quality rugby nation who could have won all of their games.
"They could be going for a Grand Slam; here they are trying to get a victory.
"They say you shouldn't wake sleeping giants. But trust me, our intention is to wake them our way.
"This should be a cracking game of rugby."