The 24-year-old, on a season-long loan from Liverpool, started his first game for 10 weeks after overcoming a knee injury and climbed highest to beat an impressive Gerhard Tremmel to head home the only strike in the 1-0 win.
And, with Carroll omitted from the England squad set to welcome Brazil to Wembley for a friendly encounter on Wednesday, Allardyce highlighted the unique attributes that the striker could bring to Three Lions boss Roy Hodgson.
|21/10||England are 21/10 with BetVictor to fail to score against Brazil
“Everyone says that is playing to his head but it's not. It's playing to his feet or chest. He is good at holding the ball up and then you can break from there."
Carroll, meanwhile, expressed his relief after returning to competitive action following a long injury layoff.
He added: "It was very hard keeping sane, to be honest. Seeing all the lads go out training when I had to go to the gym and the treatment room, it was difficult. But I am back and I have got the goal."