The singer, who was married to British comedian Russell Brand for 14 months, is currently on her Prismatic World Tour which started in Belfast this week.
She told the Birmingham Mail ahead of her forthcoming performance in the city that she liked to check out her surroundings when on tour – it is "just a road trip in disguise".
She said in the article: ‘‘I definitely take in the cities. We always bring bikes on tour and cycle all around to find the best parks. In the UK, there are some beautiful old historic parks. I’m so into history and so into culture – I dive right into that stuff.
‘‘Sometimes when we go bike riding the day before or the morning of a show, we take some tickets and stop along the way in coffee shops and places and give them away, secretly – but I wear a hat and sunglasses so you don’t really know that it’s me."
Birmingham parks service, run by head of parks Darren Share, looks after nearly 600 parks and public open spaces, more than 200 play areas and 115 allotment sites, so Perry should find plenty to occupy her.