Manuel Gonzalez is a very common name, which complicates the search. Do you have a place of birth for him? Knowing the state would be good, but state and town would be a better indication of possible success.
Border crossing records will often give the place of last residence, sometimes place of birth, and age. But, with such a common name, you must be sure you have the right Manuel Gonzalez.
Doing a search for Manuel Gonzalez, born 1890 to 1899 for example, gives more than 800 hits at Family Search. The census should give his approximate year of immigration (sometimes these dates are not accurate) which can narrow your search results.
The Family Search indexed/extracted church records generally end in the 1880s. Ancestry.com has indexed civil records, which for births will sometimes go into the 1940s, but it depends on the location.