Last weekend's 5-1 drubbing saw Given produce a fabulous performance standing alone against a Liverpool onslaught as those around him ran for cover.
The player's lawyer, Michael Kennedy, claims the player "feels compelled to consider his position" due to "turmoil on and off the pitch" at St James' Park.
Given Exit Would Sum Up The Turmoil At St James' Park!
Kennedy: "Shay is very despondent following the very poor performance of the team against Liverpool last weekend.
"It was the lowest point of his football career and a performance that he would not wish to be repeated.
"When he signed a new five-year contract in 2006 it was on the basis that the club would challenge for major honours, but on the present evidence all that he can see ahead with the turmoil on and off the pitch is a battle for survival.
"Having served the club loyally for over 11 years, Shay feels compelled to consider his position in the light of the interest being expressed in him by Manchester City, Arsenal and Tottenham."