Looking on the internet deeply has found these results:

any years is the most popular phrase on the web.

any year 122,300,000 results on the web	any years 1248,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
It's tough to have a relationship with a first year, or any year. Or the year before or any year ever. A Contracting Party may denounce this Convention by written notification to the Depositary on or before 30 June of any year. At the beginning of any year of the implementation period a Member may cease to apply special treatment in respect of the designated products by complying with the provisions of paragraph 6. Probably the most important task we will face this year or any year. Either party may withdraw from the Agreement, giving the other party notice at least six months before 31 December any year. Entry into store may take place only between 1 March and 15 August of any year.	It doesn't look like this phrase is very popular! The search could not find any examples on the internet.

any year

122,300,000 results on the web

any years

1248,000,000 results on the web

More popular!

It's tough to have a relationship with a first
year, or any year.
Or the year before or any year ever.
A Contracting Party may denounce this Convention by written notification to the Depositary on or before 30 June of any year.
At the beginning of any year of the implementation period a Member may cease to apply special treatment in respect of the designated products by complying with the provisions of paragraph 6.
Probably the most important task we will face this year or any year.
Either party may withdraw from the Agreement, giving the other party notice at least six months before 31 December any year.
Entry into store may take place only between 1 March and 15 August of any year.

It doesn't look like this phrase is very popular! The search could not find any examples on the internet.