"already hold" is correct and usable in written English.
You can use it to describe something that has already been acquired. For example, "He already holds a degree in finance."
They already hold most of the country.
They already hold key posts in Kirkuk's provincial government.
Tens of thousands of Palestinians already hold such permits.
Ammunition for their political beliefs that they already hold.
All three now have organisers in their target constituencies and in some seats they already hold.
Economic engagement only empowers those tyrants who already hold all the cards.
Rebel groups, who have pledged support to Ouattara, already hold much of the north.
Some central banks already hold a small chunk of their countries' foreign-exchange reserves in yuan.
Don't vote for the Greens except in Brighton Pavilion, which they already hold.
The professionals known as investment advisers already hold to that standard.
Nanotubes already hold promise for ultrasmall transistors and other molecular-scale electronic devices.
