Orphazyme A/S Unsponsored (ORPH) 10-K 2003 FY Annual report

Exhibit 32.1

CERTIFICATION PURSUANT TO
18 U.S.C. SS.1350,
AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report of Orphan Medical, Inc. (the “Company”) on Form 10-K for the period ended December 31, 2003 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, John H. Bullion, Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. ss.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.

/s/   John H. Bullion

John H. Bullion
Chief Executive Officer
March 15, 2004

A signed original of this written statement required by Section 906 has been provided to Orphan Medical, Inc. and will be retained by Orphan Medical, Inc. and furnished to the Securities and Exchange Commission or its staff upon request.