Doubts in using UCC27537 Gate driver to drive IPA60R120P7XKSA1 MOSFET
Generally, the UCC2753x data sheet on page 27 tells you about the use of gate resistors: -

I think this explains why you might want to use a gate resistor (mainly to share power dissipation between the chip and an external resistor). Look at the above formula; it is telling you this: -

\$0.5\cdot Q_g \cdot V_{DD}\$ is the energy taken to charge up the gate capacitance of the MOSFET
Multiply that by frequency (\$F_{SW}\$) to get the power dissipation for each toggle
If you factor in a value for \$R_{GATE}\$ you get less power burnt inside the chip
\$R_{OFF}\$ and \$R_{ON}\$ are the driven resistances of the driver chip (lowside and highside)

If you are driving a single MOSFET then I doubt that a gate resistor is important however, many applications will require one in order to reduce the dissipation inside the driver chip.