She told BBC Radio 2's Zoe Ball she "couldn't believe" the public reaction to the news.
But Minogue said she will "always" want to regularly visit the UK after she moves back to the country of her birth.
She said: "I've had friends call me, my friend at my local restaurant was like: 'Kylie, what do you mean? You can't go'."
"I said: 'I'm not really going. I've lived here for 30 years, I'm always going to be back."'
The 53-year-old said she does not think "too much will change" after her move as she will come back often.