"to achieve this goal" is correct and can be used in written English. For example, "I plan to take a course in web design to achieve this goal of becoming an expert in the field.".
It would be better to achieve this goal legitimately.
Today's reforms are essential to achieve this goal," Gove said.
But the machinery created to achieve this goal is complex.
To achieve this goal, Mr. Obama talked of "forging partnerships".
Many efforts are under way worldwide to achieve this goal.
To achieve this goal, she sometimes alters the images.
The bill is a decisive step to achieve this goal".
Thanks to Ludwig my first paper got accepted! The editor wrote me that my manuscript was well-written
Listya Utami K.
PhD Student in Biology, Bandung Institute of Technology, Indonesia