The t-shirt featured the historical mosque of Riyadha which they say should not be displayed in garments that could end up in bars.
A tweeter shared a photo of the t-shirt:
The leaders said they appreciated the display of Lamu by the designer Zeddie Lukoye but preferred that he uses non-religious historical sites.
"You cannot associate a religious minaret with worldly things. You print a T-Shirt with a logo that might end up in clubs and bars. Let him apologise," one of the leaders is quoted by the newspaper as saying.