I converted my residence of 4 years into a rental property in May 2022. Can I claim depreciation on it? Thanks.

Yes, you can claim depreciation on the property starting on the date that you converted it to a rental.  

As you go through the Rental Income and Expenses section, be sure to indicate that 2022 is the first year that you rented the property and that it was converted from your personal residence.  You will see questions related to the cost of the property, the cost of the land, the fair market value on the date it was converted, and improvements that you have made.  All of this is used to determine the cost basis for depreciation.

Also, you may see a question about any personal use days of the property.  Be aware that this is asking about personal use after it was converted to be a rental.  The time that you lived there before converting it to a rental do not count as personal days.