The England international departed the Emirates in January for £20m after having difficulty establishing himself in Arsene Wenger’s first-team.
Walcott already believes that he is flourishing under the tutelage of new manager Allardyce, citing the former England boss as the main reason why he decided to join the Toffees.
The 28-year-old has already has already made an immediate impact with his new team, scoring twice in his side’s 2-1 win over Leicester City on his full Premier League debut.
Theo Walcott for Arsenal in the Premier League since 2009/10:
218 (73%) take-ons completed
184 chances created
Arsenal's fifth highest goalscorer in the Premier League. https://t.co/VNsBP1SEPh
— Squawka Football (@Squawka) January 17, 2018
Walcott worked with Allardyce during his short spell as England manager, and the former Southampton academy graduate praised his new boss’s training regime and work ethic.
“I had that short stint with Sam with England and to see it now every day, the way the intensity of training is and how demanding it is has been great,” the 28-year-old told the official Everton website.
“I like to go into training every day and try to be better than the day before. Sam was one of the main reasons why I came to the Club. I wanted a manager like that who could get the best out of me.
“He is eager to turn results around. There have been a few recent results like getting the draw against West Brom and then beating Leicester City where we have seen improved performances but I have come here to push Everton on.
“I want to improve the team and anything I can do to help, I will do so.”
Though Walcott’s most recent league fixture was one to forget – a 5-1 hammering by his former club Arsenal at the Emirates – he believes that the club’s fortunes will soon turn around for the better.
Everton currently sit in 10th place with 31 points, just seven points above the relegation zone.
“Results will change, I am sure of it,” the 28-year-old continued. “We need to make sure we are ready and focused for the weekend because we need to start getting some more points in order to be more comfortable.
“My experiences of Goodison, however brief so far, have been amazing and given the fact how tight it is, the fans are always behind the team. I loved it straight away.”
The Toffees next face Crystal Palace at home in the Premier League on Saturday.