In 1828 he traveled to the Black Sea and ended up in Crimea.
He was a traveling companion of the Spanish Count Orlando de la Blanca.
Between about 1830 to 1860 he worked as court architect of the Russian royal family on the south coast of Crimea, especially in the district of Greater Yalta.
For this area, he created a general plan and designed a number of private and public buildings, including the first hotel of Yalta.
Aeshlimann was involved in construction of the castle in Alupka for the Vorontsov family.
Aeschlimann married Elisa Maurer, a daughter of Johann Jakob Maurer-Fischer of Schaffhausen, in Simferopol in 1836 and was knighted in 1850.