They plan to hand the appeal to Nauseda at noon on Friday.
In their letter, the faithful voice deep concern over "unjustified attacks on the Orthodox Church in Lithuania" and declare support for the position of Metropolitan Inokentiy, head of the Church, who "has expressed his unequivocal condemnation of the war and aggression against Ukraine".
They also condemn efforts to split the Lithuanian Orthodox Church and express loyalty to it, and ask the authorities and the general public not to allow the stoking of religious and ethnic discord.
The Lithuanian Orthodox Church also plans to hand Nauseda an appeal from the clergy, asking the president to engage in a direct dialogue with them, rather than communicating "through a few former priests who have stepped onto the path of separation".
Metropolitan Inokentiy last week signed decrees defrocking four former priests for their "canonical offenses", according to the Chancellery of the Lithuanian Orthodox Archdiocese.
The priests say, however, that they have been removed because of their criticism of Russia's invasion of Ukraine and the Russian Orthodox Church's support for the war.
The Lithuanian Orthodox Church, one of Lithuania's nine traditional religious communities, is a metropolitanate within the Patriarchate of Moscow and All Russia.