Mentioned by Realtor.com
Restaurants and Bars in Cleveland with Outdoor Seating
"One of the only places downtown with a rooftop patio, The Greenhouse Tavern is a gem located on East 4th Street. Although you can't usually eat on the patio, you can always grab a drink before dinner. A great place to stop for a happy hour drink, you can sit close to the wall and watch as people walk to and from Indians games or to one of the other restaurants East 4th."