Arsene Wenger hoping Theo Walcott buys his English dream
Wenger also hinted the club can finally afford to pay the wages demanded by star players after seasons of seeing them leave for rivals at home and abroad.
His England colleague Jack Wilshere has promised that he will soon sign a new five-year contract but so far Walcott has proved reluctant to follow suit.
Wenger made it clear he had not given up on the 23-year-old.
"He has become a top player at Arsenal and I hope that when he considers his future he will consider that this is the best place for him and he will sign for us," he said.
"I do not want to go into details but I will say that our desire is clear and he knows that. Hopefully he can get to a happy end with that.
"I believe that we have a good core of young English players. We couldn't keep the good core of young foreign players but I hope we will be capable of building the team around these English players and for them to achieve something together.
"I believe as well that when a club gives a chance to young players the players must say 'let's do it together' because if you educate players at some stage their fate is in their own hands."
Wenger also shed light on the club's ability to pay top-bracket wages following the move to the Emirates Stadium six years ago.
"We have gone through a period where we had restricted potential financially when we moved into the new stadium," he said.
"We have got over that period and hopefully now we can be a bit more convincing."
Wilshere made it clear he would be delighted if Walcott committed his future to the Gunners.
"I've been working all year on him," said the 20-year-old.
"It is between Theo, his representative and the boss but hopefully we can sign him up."
Walcott was coy about what the outcome would be.
"Talks are on-going but it is going to be a slow process. But I'm sure something will happen soon."
Walcott, playing in his favoured position of central striker, scored his side's fifth goal after Lukas Podolski had opened the scoring and Santi Cazorla added another three.
Reading pulled two back in quick succession through substitute Adam Le Fondre and Jimmy Kebe but Walcott's goal ended their resistance.
The victory was the perfect response to the criticism that had come Wenger's way following last week's League Cup quarter-final exit at League Two side Bradford.
"There is only one answer to give and that is to play well in the next game," he said.
"But we were under a lot of pressure before the game and we thought subconsciously that it was done at 4-0.
"At 4-2 I saw the headlines coming but fortunately we scored the fifth."
The result left Reading still bottom of the Premier League table and unlikely to avoid the drop unless significant investment is made in the squad next month.
Manager Brian McDermott, who is a former Arsenal player, promised the unhappy fans he would do his best to improve a squad that is struggling to bridge the gap between the top flight and the Championship.
"It would be good if we could get two or three players who have played at this level but whether we can do that or not time will tell," he said.
"January is a difficult window, especially if you are struggling where we are in the league.
"I can't see this club spending a fortune in January, I just don't think it's going to happen, but we have to try to find some experienced players to come through the door."
Related Arsenal News