Exhibit 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report of LHC Group, Inc. (the “Company”) on Form 10-Q for the quarter ended March 31, 2015 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), the undersigned, Keith G. Myers, Chief Executive Officer of the Company, and Dionne E. Viator, Chief Financial Officer of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

1. The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: May 7, 2015

/s/ Keith G. Myers

Keith G. Myers

Chief Executive Officer

(Principal executive officer)

/s/ Dionne E. Viator

Dionne E. Viator

Executive Vice President and Chief Financial Officer

(Principal financial officer)