Trader Karen Finerman said she would sell Disney shares before the movie release, as they may lose momentum after. She and Kelly added they see trouble ahead for flagship television property ESPN amid Tuesday reports of job cuts at the company.
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But trader Steve Grasso believes the "Star Wars" success may not be priced into the stock. Grasso, who owns shares, said Disney may have more upside after it was "beaten up" on a cable business warning from CEO Bob Iger earlier this year.
Trader Pete Najarian agreed the stock has gained traction since it fell on Iger's comments.
On Monday night, Apple CEO Tim Cook said the company managed to keep 6.5 million paid subscribers for its Apple Music service after a free-trial period ended. He also noted the auto industry was on the verge of a "massive change," but did not comment directly on Apple's reported electric car venture.
Apple shares rose nearly 2 percent Tuesday. Najarian, an Apple shareholder, noted the subscriber number was a "disappointment."
Read MoreApple CEO Tim Cook: 'Massive change' is coming to auto industry
However, he said Apple's involvement in the auto industry, whether through software or hardware, is "really big."
Kelly added that investors should not rush into buying Apple shares at their current price.
Long AAPL, AMAT, BAC, BMY, BP, CSX, DIS, DISCA, DKS, FOXA, GE, KKR, KO, MRK, PEP, PFE, PHM he is long calls ABX, AGN, BAC, BEE, DAL, ETFC, F, FL, GPRO, JOY, JPM, LM, LUK, MAS, MPEL, PBR, SWFT, UAL, VALE, VZ, ZIOP, he is long puts DISH, EWW, FCX, MRO, TNK, TSLA, X
Karen is long BAC, C, FINL, FL, GOOG, GOOGL, JPM, KORS, KORS call spreads, M, URI, she is short SPY, Her firm is long ANTM, AAPL, BAC, C, DIS, FINL, FL, GOOG, GOOGL, GPS, JPM, KORS, KORS call spreads, M, M calls, M call spreads, SUNE, SUNE call spreads, URI, URI long puts, her firm is short IWM, SPY, MDY, USO, Karen Finerman is on the board of GrafTech International.
Brian Kelly is long BBRY, GLD, Bitcoin, Silver, US Dollar; he is short Yuan, British Pound, Crude Oil, Euro, Yen, EEM, EWC, EWU, EWG, SPY
Steve is Long AAPL, BA, BAC, CC, DD, DIS, DECK, EVGN, FIT, KBH, MJNA, MBLY, MU, OLN, PFE, PHM, T, TWTR, GDX firm is long IBM kids own EFA, EFG, EWJ, IJR, SPY