The phrase "plenty of space" is correct and usable in written English. It is usually used to express that there is a large enough area or amount of something for a purpose, such as when you are speaking of availability or capacity. For example, you might say, "The storage room has plenty of space to store our extra supplies.”.
And there's plenty of space.
"Plenty of space," he said.
There is plenty of space.
"There's plenty of space available".
There is still plenty of space.
I leave plenty of space for flowers.
There's plenty of space for all his things".
Ludwig does not simply clarify my doubts with English writing, it enlightens my writing with new possibilities
Simone Ivan Conte
Software Engineer at Adobe, UK