The phrase "a lot of flexibility" is correct and usable in written English. You can use it to describe any situation or situation in which a person or group has room to move or make decisions. Example: The company offers its employees a lot of flexibility in terms of working hours.
He gave you a lot of flexibility".
This gives me a lot of flexibility".
We have a lot of flexibility.
It doesn't leave a lot of flexibility".
That leaves a lot of flexibility.
"That creates a lot of flexibility.
"I look for a lot of flexibility.
There's a lot of flexibility with this device.
"It provides a lot of flexibility in siting," Hodder says.
A lot of flexibility isn't necessarily a good thing.
It has, therefore, a lot of flexibility and is useful in a wide variety of applications.
I love the desktop app, it’s always running on my Mac. Ludwig is the best English buddy, it answers my 100 queries per day and stays cool.
Cristina Valenza
Retail Lead Linguist @ Apple Inc.