Alfredsson, 39, told reporters on Friday he felt the NHL's latest offer was not good enough, although speculation began to suggest players should take the League's proposal to a vote since the two parties seem too close to agreement.
The Sens captain believes there remains too big of a gap to reach a new CBA at the moment.
"Of course the players aren't going to agree with me when asked by reporters cause then everyone would know where they stand. The players are losing $9 million a day. So I ask, what are they afraid of," Cherry asked on Twitter.
Cherry added that he has always appreciated Alfredsson's passion and determination for the game, especially during last season's playoff run, and realizes that he is a fan favorite in Ottawa.
In 75 games with the Senators last season, Alfredsson recorded 27 goals and 32 assists for 59 points.