Exhibit 23.1
 
                   CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS
 
    As independent public accountants, we hereby consent to the incorporation by
reference into this Registration Statement on Form S-3 of our report dated
February 6, 1998 (except for the matters discussed in Note 17, as to which the
dates are February 17, 1998, June 8, 1998 and June 17, 1998), included in
TeleTech Holdings, Inc.'s Current Report on Form 8-K filed on July 28, 1998 and
to the incorporation by reference of our report dated February 6, 1998 (except
with respect to the matter discussed in Note 17, as to which the date is
February 17, 1998), included in TeleTech Holdings, Inc.'s Annual Report on Form
10-K for the year ended December 31, 1997 and to all references to our Firm
included in this Registration Statement on Form S-3.
 
                                          ARTHUR ANDERSEN LLP
 
Denver, Colorado
July 28, 1998