POWER OF ATTORNEY

        Know all by these presents, that the undersigned hereby constitutes and
appoints each of Jon W. Howie, Sharon A. Russell and Susan Kittrell signing
singly, the undersigned's true and lawful attorney-in-fact to:

        (1)     execute for and on behalf of the undersigned, in the
        undersigned's capacity as an officer and/or director of Chuy's Holdings,
        Inc. (the "Company"), Forms 3, 4 and 5 in accordance with Section 16(a)
        of the Securities Exchange Act of 1934 and the rules thereunder;

        (2)     do and perform any and all acts for and on behalf of the
        undersigned which may be necessary or desirable to complete and execute
        any such Form 3, 4 or 5, complete and execute any amendment or
        amendments thereto, and timely file such form with the United States
        Securities and Exchange Commission and any stock exchange or similar
        authority; and

        (3)     take any other action of any type whatsoever in connection with
        the foregoing which, in the opinion of such attorney-in-fact, may be of
        benefit to, in the best interest of, or legally required by, the
        undersigned, it being understood that the documents executed by such
        attorney-in-fact on behalf of the undersigned pursuant to this Power of
        Attorney shall be in such form and shall contain such terms and
        conditions as such attorney-in-fact may approve in such
        attorney-in-fact's discretion.

        The undersigned hereby grants to each such attorney-in-fact full power
and authority to do and perform any and every act and thing whatsoever
requisite, necessary, or proper to be done in the exercise of any of the rights
and powers herein granted, as fully to all intents and purposes as the
undersigned might or could do if personally present, with full power of
substitution or revocation, hereby ratifying and confirming all that such
attorney-in-fact, or such attorney-in-fact's substitute or substitutes, shall
lawfully do or cause to be done by virtue of this Power of Attorney and the
rights and powers herein granted. The undersigned acknowledges that the
foregoing attorneys-in-fact, in serving in such capacity at the request of the
undersigned, are not assuming, nor is the Company assuming, any of the
undersigned's responsibilities to comply with Section 16 of the Securities
Exchange Act of 1934.

        The execution by the undersigned of this Power of Attorney hereby
expressly revokes and terminates any powers of attorney previously granted by
the undersigned relating to Forms 3, 4 and 5 with respect to the undersigned's
holdings of and transactions in securities issued by the Company. This Power of
Attorney shall remain in full force and effect until the undersigned is no
longer required to file Forms 3, 4 and 5 with respect to the undersigned's
holdings of and transactions in securities issued by the Company, unless earlier
revoked by the undersigned in a signed writing delivered to the foregoing
attorneys-in-fact.

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of June 14, 2012.

                                        /s/ Jose Ferreira, Jr.
                                        ----------------------------------------
                                        Name: Jose Ferreira, Jr.