UPDATE 1-Fisher Communications says rejects unsolicited offer

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June 23 (Reuters) - Fisher Communications (FSCI.O) said it rejected an unsolicited cash offer of between $43 and $45 a share to buy the company, with its board deciding it was not in the best interests of shareholders.

The offer's top range was a more than 40 percent premium based on the television and radio stations operator's closing stock price Friday on the Nasdaq.

The company said the offer came from a financial sponsor but did not elaborate.

Separately, TowerView, a 9.5 percent shareholder in Fisher said in a regulatory filing on Monday that it does not wish to have any constraints on its ability to trade in the company's common stock.

In April, TowerView withheld its votes for the election of directors at the company's annual meeting, after Fisher refused to put into its proxy statement a proposal made by shareholder GAMCO Asset Management.

Shares of the Seattle-based company closed at $31.86 Friday on Nasdaq. (Reporting by Sayantani Ghosh in Bangalore; Editing by Bernard Orr)