Two other lesser known players -- Dilshan Madushanka and Lahiru Kumara -- were also left out because of injuries, the board said.
The Asia Cup, which starts Wednesday, is a final chance for teams from the region to size each other up before the World Cup in India starting in October.
Pakistan and Sri Lanka are co-hosting the six-nation Asia Cup, a hybrid model agreed after India refused to tour Pakistan.
Sri Lanka Asia Cup 2023 Squad: Dasun Shanaka (Captain), Pathum Nissanaka, Dimuth Karunaratne, Kusal Perera, Kusal Mendis, Charith Asalanka, Dhananjaya de Silva, Sadeera Samarawickrama, Maheesh Theekshana, Dunith Wellalage, Matheesha Pathirana, Kasun Rajitha, Dushan Hemantha, Binura Fernando and Pramod Madushan.
