The striker opened his account for his new club during Saturday's 1-1 draw with Manchester United.
The England international will be partnered by newcomer Cameron Jerome, with starts also given to Ryan Shotton and Robert Huth.
Stoke: Sorensen; Upson, Huth, Shawcross, Shotton; Delap, Whitehead, Palacios, Etherington; Crouch, Jerome
Subs: Nash, Whelan, Wilson, Pennant, Walters, Wilkinson, Arismendi
Besiktas: Recber; Koybasi, Sivok, Korkmaz, Fernandes; Quaresma, Hilbert, Aurelio, Uysal; Sabrosa, De Oliveira
Subs: Gonen, Kavlak, Pektemek, Dag, Holosko, Sidnei, Ernst