Gomez sustained a ruptured patella tendon while training on his own at the Three Lions' base on Wednesday.
He has undergone surgery and returned to Liverpool to begin his journey back to full fitness, with the club confirming he will face a "significant" period on the sideline.
The 23-year-old has suffered serious knee and ankle injuries in the past and said he is well aware of "what it takes" to recover from them in a message to Liverpool fans on social media.
"The road to recovery has already begun," Gomez wrote on Twitter. "I've been here before, I know what it takes and I'll be back better and stronger than ever.
"I'm obviously gutted, but this is a part of God's plan and I believe everything happens for a reason.
"I'd like to thank everyone for their well wishes and messages of support.
"I'm focussed on my recovery and supporting my team mates in every way I can. See you soon."