I cut the STlink board from Nucleo-F722ZE board.
I connected the cut STLINK board to the nucleo board and SWD.
To connect swd, I connected 2 (JTCK), 3 (GND), and 4 (JTMS) of the SWD connector to 13(PA13), 15(PA14), and 19(GND) of the CN11 connector of the nucleo board.
SWD con. 2(JTCK) - CN11 con. 15(PA14, TCK)
SWD con. 3(GND) - CN11 con. 19(GND) <--- Common Ground between boards.
SWD con. 4(JTMS) - CN11 con. 13(PA13, TMS)
The power source for the nucleo board was 5V input from the outside using 6 (E5V) and 8 (GND) of CN11.
And the cut stlink board was connected to the PC via USB.

And for the "HSE on-board oscillator from X3 crystal(not provided)" that is not provided,
I processed it as follows.
X3 soldered with 8MHz crystal.
SB8 and SB9 ON.
C37 and C38 soldered with 18pF cap.
SB148, 149, 163 OFF.
SB112 was not processed separately as it was on the stlink board.

I've confirmed that stlink with this connection works fine on other PCs.
I don't know
But it's working fine now.
After not recognizing stlink after the first program, I tried setting it to "HSE not used". Then I changed the setting to “HSE on-board oscillator from X3” again.
Now stlink is recognized well.
I guess I did something wrong.
Thank you to everyone who helped.