Texas Instruments recommends a 4-layer PCB with a solid ground plane, and to keep analog and digital traces separate. Also, use a low-ESR capacitor for the AVCC pin and keep the analog input traces short and direct.
The ADS8321EB/250 has a power-on reset circuit that ensures the device is in a valid state after power-up. However, it's recommended to add an external reset circuit to ensure the device is in a known state after power-up.
A crystal oscillator or a high-quality clock source is recommended. To minimize clock jitter, use a clock source with low jitter (<100 ps) and ensure the clock signal is properly terminated and routed.
The ADS8321EB/250 outputs 16-bit data in two's complement format. The recommended data format is to use a 16-bit register to store the output data, with the most significant bit (MSB) as the sign bit.
The ADS8321EB/250 has an internal calibration circuit that can be initiated by setting the CAL pin high. Calibration should be performed after power-up and after any changes to the analog input range or reference voltage.