Trader Dan Nathan echoed Kelly's positive sentiment, adding that he owned BlackBerry calls that go to June. The company is a potential takeover target, and it's an appealing buy if any deal seems imminent, said trader Tim Seymour.
Read MoreBlackBerry, Samsung deny takeover report
"This company doesn't stay independent forever. I think you buy it on a take out," he said.
Another battered tech name, Yahoo, looks like a better buy than Alibaba, the Chinese giant to which it is linked, Seymour added. Yahoo owns stake in Alibaba that was worth about $40 billion late last month.
Yahoo and Alibaba closed Wednesday around $45 and $86 per share, respectively.
Read MoreChinese rivals snap at Alibaba's heels in cross-border e-commerce race
He noted that investors in Apple, which has been trading above $125 per share, shouldn't get out of the stock until the second quarter of this year at the earliest.
Tim Seymour is long AAPL, BAC, C, DIS, F, GE, GM, GOOGL, INTC, JCP and SUNE. Tim's firm is long BABA, BIDU, MCD, NKE, NOK, SBUX and VIP.
Dan Nathan is long BBRY June call spread, KO March put spread, M March 65/67.50 call spread, MSFT March call spread, MU March 31/26 put spread, SHAK, XLF March put spread and XRT March 90/85 put spread.
Brian Kelly is long BTC=, U.S. dollar, GLD, CTRL calls, HYG puts, BBRY, BBRY call spreads and TLT. He is short EWA, EWG, EWQ, EWZ, EWW, Australian dollar, British pound, Canadian dollar, yen and yuan. Today, he bought BBRY.
Jon Najarian is long ABT, ADP, AMAT, AN, ATVI, AUY, BRCM, BSX, CZR, DNKN, EQT, GE, GT, HFC, HOG, HUN, INFN, KBH, KO, MW, NEE, NRG, NSAM, OKE, POST, RIG, RKUS, SFUN, SIRI, SPG, SYK, TWTR, TWX, WBA, WMB, WNR and XLE. He is long calls BYD, CZR, EQT, EWJ, HOG, RKUS and TWTR. Today, he bought CZR, CZR calls, GE, HFC, HOG, HOG calls, SPG and WNR calls.