Transport Secretary Grant Shapps said the policy affected his own family as his wife and children returned from their vacation in Spain after him.
This meant that while he was able to visit Scotland last week, his family remained in quarantine at his home.
Self-isolation for 14 days is allowed in a hotel according to the rules, but people should not visit the bar, restaurant or gym during their stay.
However, the validity of these rules has been called into question after only 10 fines were imposed on those who violate the quarantine rules.
Nine of the Fixed Penalty Notices (FPNs) have been distributed by border force officials at the border since the restrictions were introduced, the interior ministry said.
It had previously been revealed that police fined only one person between June 8, when the rules entered, and July 27.
The Border Force can issue FPNs between £ 100 and £ 1,000 to those who violate government rules for completing passenger tracking forms.
After introducing the new quarantine measures on five new countries last week, Mr Shapps said there “must be a cut” and argued that holidaymakers had traveled abroad despite the risk.
“I think people this year will have left knowing there was a significant risk,” he said. “People will have left with their eyes open.”