Tiger Management has sent a letter to the board of GameStop, urging the video game retailer to conduct a strategic review amid recent management upheaval.

"We view the recent management departures and crisis of confidence as an unprecedented opportunity for the Board to launch a strategic review and revive shareholder confidence in the sustainability of the GameStop business model," the letter, which was reviewed by CNBC, said.

Tiger Management, the nearly 3-decade-old hedge fund founded and led by Julian Robertson, has been building up its stake in GameStop this year. Crawford Hawkins, a portfolio manager at the firm, signed the letter. He declined to comment to CNBC.

Letters of this kind are associated with activist investors, or managers known for taking stakes in companies and suggesting strategic changes the company can pursue to boost the stock price.

Tiger Management said in the letter that it plans to "remain a passive shareholder" and has "no intention of becoming an activist investor."

"To the extent that you fail to implement a turnaround plan, we merely intend to sell our shares and redeploy capital toward more attractive investment opportunities," Tiger Management said.

The shares rose slightly in in trading Wednesday.

GameStop shares have declined about 45 percent over the last year compared with the Russell 2000's gain of about 15 percent. On Friday, GameStop announced that CEO Michael Mauler resigned abruptly after only three months on the job causing additional pressure on the shares. Co-founder Daniel DeMatteo was named the interim CEO.

Paul Raines had left the CEO post in November due to medical reasons and died in March. Mauler was named CEO in February and within days, GameStop fired two top executives.

The exact size of Tiger's stake couldn't be learned. Public disclosures indicate Tiger's stake at the end of the quarter of only 25,000 shares, but the firm has likely continued adding to the position since March 31 without breaching the 5 percent ownership threshold requiring additional filings.