By The Nation
Industry Minister Uttama Savanayana and Deputy Prime Minister Somkid Jatusripitak would also be named in the list as his deputy and third in command, respectively.
The Constitution requires parties to propose three candidates for the premiership.
Prayut, who led the military coup to topple the elected government in May 2014, is always reluctant to make clear commitments about his political ambitions.
The junta-sponsored charter gives two options to fill the top job in government: being proposed by a political party or by a two-thirds vote in the House of Representatives to install a non-elected figure.