Foster missed two field goal attempts and had a third blocked in the Crimson Tide's 34-28 loss to Auburn on Nov. 30.
He posted a photo of the letter on his Twitter and Instagram accounts Wednesday.
Bush wrote:
- "Dear Cade (#43),
"Life has its setbacks. I know!
"However you will be a stronger human with time.
"I wish you all the best -
"Sincerely -
"another 43
"George Bush"
Bush was the 43rd President and Foster wears No. 43.
"Framing this," the kicker wrote on the Instagram caption
The letter was first reported by al.com.
No. 3 Alabama will play Oklahoma in the Sugar Bowl, but had been trying for a third straight national title.
Foster received threats on social media in the aftermath of the loss to Auburn. But teammates and Alabama fans swiftly rallied around him, with thousands joining a Facebook fan page "Bama fans supporting Cade Foster" by the following day.
Foster had made 11 of 12 field goals on the season before the game with Auburn.
He is a senior.
