The south Wales club were written off as certain relegation fodder following their promotion from the npower Championship, but they have won praise for their attractive style and they lie 12th in the Barclays Premier League table, seven points above the drop zone.
One of the key elements of an impressive campaign to date has been a home record that has seen them suffer just one defeat and concede only four goals.
A result of Swansea's fine performances, added to by an excellent draw against Tottenham and a first away win of the season at Aston Villa, has seen the likes of Steven Caulker, Scott Sinclair and Nathan Dyer being mentioned as potential England internationals.
And Rodgers feels Capello may be surprised to find some candidates for his Euro 2012 squad on display, should he choose to make a visit to south Wales.
"I certainly think he would be very surprised coming here," said Rodgers.
"I am sure he has seen some games on the television but it would be fantastic for him to come and look at a club like this that may not be the most fashionable, but it is a club where players have shown they can grace this level and number of them have shown that they could step onto another level."
He added: "I have gifted players here who could play for big teams, they are not at a glamour club but if there is a style suited to international football this is it, and I am confident my players could step up.
"Someone like Danny Graham who can run and move and score goals, or someone like Scott Sinclair who is not only a fantastic winger but a specialist penalty taker. He hasn't missed one, and at big tournaments you are looking for specialists.
"Nathan Dyer has scored in two of the last three games. He was fantastic against Villa facing Stephen Warnock, who was seen as an England full-back not long ago, so that's the improvement we are making."
Swansea's draw with Tottenham was just the second point they have taken off the current top six, the other had come at Anfield in October, but Rodgers believes the manner in which his side fought back from a goal down against Harry Redknapp's side showed they are ready to claim a scalp from the division's big guns.
He said: "Playing the top teams is a great challenge, at the start of the season when we played quite a few of the top teams we were still dipping our feet in the water and understanding about this level.
"But we have now played everyone in the league and have a different belief. We understand where we are at and feel we can have a real go in the second half of the season.
"The game against Tottenham was a watershed, it was one of those games where your philosophy is judged.
"You are a goal down despite being the dominant team, against a team seen as potential champions, a team who have been in the Champions League, a team with world class players.
"And in the second half we near enough passed Tottenham to a standstill, and those were the words of Harry Redknapp.
"I think that was a game where our confidence has taken another notch and the belief has grown.
"That allowed us to go to Villa and get a very important result and from that I have sensed a renewed confidence and belief.
"It reinforced what our game is about and the players have found that the best players in the world can struggle to handle our game. We need to continue that against Arsenal."