La Quinta 10-Q 2016 Q2 Quarterly report

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 La Quinta Holdings Inc. (the “Company”) on Form 10-Q for the quarterly period ended June 30, 2016 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Keith A. Cline, President,  Chief Executive Officer and Director of the Company, do hereby 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: August 2, 2016

/s/    Keith A. Cline

Keith A. Cline

President and Chief Executive Officer

(Principal Executive Officer)