'gladly support' is a correct and usable phrase in written English.
You can use it to indicate that you enthusiastically agree with or support something. For example, "I would gladly support any initiative that helps to reduce poverty."
The rest of our company will gladly support our strategy and provide help as needed.
There are many outstanding faculty at MIT and other universities who will gladly support your goals.
As satyrs gladly support his weight, his massive body slumps in a rollicking landscape of sweat, wrinkles and abandon.
I gladly support a number of charities with regular modest contributions; several receive automatic monthly donations from my credit card or bank account.
We should gladly support the people who can't work, and know that the system will support us when we can't work, too.
When asked about Hanson's decision to back the referral, Culleton said she had been misled and when she had the full facts "she would gladly support me".
Others are still bewildered that Mr. Trump defeated not only Mr. Cruz — a pastor's son who made "religious liberty" a signature issue — but also half a dozen other conservative Christian contenders they would have gladly supported.
Debbie Wasserman Schulz and Donna Brazile, I hope you're pleased that you foisted Hillary on a Democrat and Independent public that would have gladly supported Bernie.
As a member of Congress, I gladly supported the law, which banned the practice of denying coverage to people with pre-existing conditions, closed the prescription drug "donut hole" for seniors, and created subsidies for affordable coverage.
John Chandler, the IBM Mainframe Kermit author, will gladly add support for other languages not yet supported, such as Polish, Czech, and Hungarian, if someone who has knowledge of the local national variations of EBCDIC will provide him with the appropriate code tables.
I've done it gladly to support my family.
