AT firmware upgrade in ESP-01 using Arduino UNO R3 I need to upgrade the AT firmware in ESP-01 by using Arduino UNO R3 serial interface. Do I need to remove the Microcontroller Chip from the DIP socket before burning firmware? Does it going to affect Arduino Bootloader?
Do I need to remove the Microcontroller Chip from the DIP socket before burning firmware?

No, just connect RESET to GND to stop the MCU from running.

Does it going to affect Arduino Bootloader?

No.