The Rangers have 48 hours to decide if they'll accept the ruling.
Avery earned $1.1 million last season.
The 27-year-old had a career-high 48 points (18-30) while splitting the year with Los Angeles and the Rangers.
New York is close to the salary cap and might have trouble fitting Avery onto its roster.
It was a shorter day of action at the World Junior Championship with just two games. Tony Ferrari looked at three standout performances from Friday.
The Florida Panthers made some significant moves this off-season to re-shape their roster. But can they be as good as last year?
Sweden had no issue handling Austria, while Slovakia got the extra point in a big contest against Latvia on a quieter day at the World Junior Championship.
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