Mezue ahịrịokwu na-esonụ: Site na Jenụwarị 1798 ruo March 1799, Zach bụ onyeisi ndị ọrụ nke "Armee von Italien". O weghachiri ọrụ onye isi ndị ọrụ ọzọ site na July 1799 ruo June 1800. Na 9 June 1799 ọ nwetara nkwalite na General-major. N'akwụkwọ ozi nke gọọmenti Ọstria meghere nke o degaara onye nnọchianya Russia, onyeisi ndị agha, bụ́ Alexander Suvorov, kọwara Zach dị ka "onye nwere ezi uche, onye na-eme ihe n'ụzọ akọ, na onye na-arụ ọrụ nke ọma, ma bụrụkwa onye na-akpata ọgba aghara n'ihe banyere "Unterkunft" (ihe ndị e ji arụ ọrụ) kpọmkwem mgbe ọ dị ya ka ya banye n'ọgba aghara kpụ ọkụ n"ọnụ". Ọ bụ ezie na Suvorov jiri "Unterkunft" mee ihe dị ka okwu mkparị, a kpaliri Zach kama ịkparị ya mgbe e gosiri ya akwụkwọ ozi ahụ. Zach rụrụ ọrụ nke ọma na
Agha Novi na 15 Ọgọstụ. Maka omume ya, eze ukwu nwere ekele nyere ya Knight's Cross nke Military Order nke Maria Theresa na 13 Ọktọba 1799. Zach bụ ọkà n'ihe ọmụmụ mgbakọ na mwepụ, ọ na-arụ ọrụ n'ụlọ ọrụ ndị agha karịa ka ọ na-arụ n'ọchịchị agha ma ọ bụ n'ọrụ agha.