Repairs to Dunipace Football Club's pitch will cost the club £300,000.
The club say they have been "overwhelmed" by the support shown so far.
Police have launched an investigation after vandals wrecked the facility on Friday night.
It's being treated as a wilful fireraising incident.
A statement by the club says:
"Yesterday was one of the toughest days we've faced as a club after the widely reported fire at Westfield that caused massive damage to the pitch.
"While we know there's a long road ahead before we get things back to the way they were, the support we've received from the local community, Scottish football, and the wider football family has been nothing short of overwhelming.
"The club has received messages from around the world and it has been difficult to comprehend just how far-reaching this has become; while the people of Denny and Dunipace have rallied around the club in a way that makes you proud to be from the town."
A Police Scotland spokeswoman said: "This fire caused a significant amount of damage and will have a substantial impact on the club and surrounding community.
"We are appealing for anyone who witnessed the fire, or anyone who may have seen anyone acting suspiciously, to get in touch."