Country hotel's playing ball (7)
I believe the answer is:
lesotho
'country' is the definition.
(Lesotho is an example)
'hotel's playing ball' is the wordplay.
'playing' indicates anagramming the letters.
'ball' becomes 'o' (O looks like a ball).
'hotels' with letters rearranged gives 'lesoth'.
'lesoth'+'o'='LESOTHO'
(Other definitions for lesotho that I've seen before include "African country, formerly Basutoland" , "Kingdom within South Africa" , "Country, an enclave of South Africa, capital Maseru" , "Kingdom surrounded by South Africa" , "Landlocked country in southern Africa" .)