Trader Tim Seymour, though, said he would sell at that level. He called Chipotle's comparable sales—which rose 10 percent in the quarter—"unsustainable."
Trader Guy Adami looked for a different chain to rally off of Chipotle's earnings. If Jack in the Box does not get "whacked" in Wednesday trading, it could rally, he contended.
As Chipotle sagged in post-earnings trading, Yum Brands popped. After same-stores sales dropped in its key China market fell less than expected, Yum's stock climbed 4 percent higher.
Read MoreYum profit beats as China sales fall less than forecast
Seymour contended that Yum will likely hit a floor at $80 per share, about $4 lower than where it traded after-hours Tuesday.
"The risk-reward looks very interesting," he said.
In trading a chicken chain, trader Brian Kelly preferred El Pollo Loco. The stock closed about half a percent lower on Tuesday, below $29 per share.
Tim Seymour is long APC, T, BAC, C, DAL, DIS, XOM, F, GE, GM, GOOGL, INTC, EWZ, SCTY and SUNE. Tim's firm is long BABA, BIDU, TUR, MCD, NKE, NOK, SBUX and YHOO. Today, his firm bought YHOO.
Steve Grasso is long AAPL, BAC, BTU, EVGN, MJNA, PFE, T, TWTR and GDX. His firm is long AMZN, ICE, AMZN, MCD, NE, OXY, RIG, VALE, FCX and TSE. His kids own EFG, EFA, EWJ, IJR and SPY.
Brian Kelly is long BTC=, CTRL calls, GSG, BBRY, SPY puts and U.S. dollar. He is short 30-year bond futures. He is short Australian dollar. He is short yen. He is short yuan.
Guy Adami is long CELG, EXAS and INTC. Guy Adami's wife, Linda Snow, works at Merck.