Using a fire wyvern makes taming easy (leveling melee on the fire wyvern helps tame quicker)

Watch Nooblet best way to trap a Phoenix and he uses oil jars and a parasajr to find the ashes and traps it.

You can get it to spawn next to your base because of the following: It always respawns at it's last location, so if the heatwave ends while you are following it you will know where it is for the next heatwave. It also chases you when you eat flowers... hint hint

here is two ways to tame this bub

one: the quick way,

1: heat wave

2: get on fast and good tame

3: find one

4: if found use fire wyvern or flame arrows

two: the trap way,

1: start from step 3 on way one but wait for heat wave to end.

2: find big pile of ashes

3: place a trap. add oil jars for good results

4: wait for next heat wave

5: light the fire bird up!

To the person who asked, Phoenixes eat Sulfur.

Its quicker to tame with a fire wyvrm, after feed it sulfur cusit doesn't easy anything else.. also you don't actually need a parasaur unless you're trapping it..you can actually ping it from the dino finder

If you're like me and still play ASE, use a parasaur's special to ping the Phoenix underground during a heatwave or after it. When you've found it... Build a trap and look at another tip I'm just quoting raasclark-Macncheezl

Ok so anyone that haven’t found or tamed 1 yet or want a go at it just get the GENE SCANNER with the bob expansion …you can track a phoenix even if it’s not in heatwave ..found 2 different phoenix in the same heatwave using the scanner, I killed the 1st low level one and another was already on the map right after.

Find a phenix during a heatwave and follow it until it ends. The phenix will turn into ashes and land on the ground but will spawn right back at the same exact spot during the next heatwave. Build a trap 6 blocks high so I can't glitch out and you have yourself a trapped phenix to tame:)

You can look for it with a parasaur when heatwave isn active...it can detect an ash pile...i got lucky and found one after 5min