Martin, who was handed the captain's armband for the first time ahead of last weekend's win at MK Dons, is bullish about the Posh prospects of an upset win.
He accepts Leeds deserve to be favourites to win the League One title, but he is confident Posh have the players to follow them into the Championship.
Martin said: "If we play as well as we did against MK Dons we can beat anyone. We're in pretty good form now with eight points from four unbeaten matches and that's promotion form over the course of a season.
"Leeds are rightly favourites for the title, but it would be a real statement to the rest of the division if we can beat them.
"It will be tough because they are full of good players, but we are capable of causing them problems.
"I'm sure we will be as positive as we normally are which should lead to a great game, full of attacking football.
"It's a big game for both sides and I'm confident we can give a good account of ourselves and gain a valuable win."
Martin was signed from League Two outfit Wycombe in the summer as part of the £200,000 deal which also led to winger Sergio Torres arriving at London Road.
He never skippered The Chairboys, but he has captained many teams in his career. Martin was told he would be replacing Craig Morgan as skipper at the end of last week.
Related:
Posh v Leeds: Match commentary and full preview, kick-off 12noon, 4 October-------------------------
Martin added: "The manager asked me if I fancied it and I said yes straight away. Craig has been a top man about it and I think he agreed with the decision as he spends so much time away from the club with Wales.
"It's an honour of course and it won't change the way I approach matches because I tend to talk a lot anyway!
"I never skippered Wycombe, but I captained youth teams regularly so it's not a new job for me."
Posh are on course for the first sell-out for a Football League match in their history with 13,400 tickets sold before the close of business yesterday.
The capacity for the match has yet to be confirmed, but it will be around 15,000. Leeds sold their allocation of 4,200 tickets within three days of them going on sale.
The Posh Family Stand is almost sold out, but tickets are available in the London Road End and home sections of the Main Stand.
No tickets will be sold on the day of the game which has a noon kick-off.
The full article contains 481 words and appears in Peterborough ET newspaper.