The teams split the two-match test series 0-0 but Bangladesh will now be favourites to seal a second straight home series victory over New Zealand. Despite the hosts' dominance, Anderson thought there was little reason for concern and attributed much of the result to the brilliance of Rubel.
"I don't think we have to be concerned about getting done over 3-0 or anything like that,'' he said. "Someone got a hat-trick today - fingers crossed that doesn't happen in the next one.
"You can't take anything away from them. Rubel bowled really well - hat-tricks don't come around very often and neither do five-fors. A cluster like that is always going to be the difference in the game.
"I think we just have to go about our business tomorrow and come back in the next game firing and ready to go.''
New Zealand hardly got off to a rollicking start in their chase, sitting at 82-3 after 20 overs when the rain came and halted play for two hours, and the revised target left them needing 124 off 78 balls on resumption.
But Anderson thought the delay may have suited his side - until the heroics of Rubel changed the game.
"The rain pegged it back a bit but we actually almost like a shorter game, with big hitters down the order,'' he said. "We thought we were going well but that hat-trick just put us along way behind the eight-ball.''
Anderson - who has now been a victim in two hat-tricks on tour - denied the Black Caps were guilty of under-estimating Robel after being victimised by spin in the test series.
"Obviously the sub-continent, the first thing you think of is spin, but we still take all their bowlers as dangerous. I wouldn't say that we've neglected the quicks or anything like that, I just think today he had a really good day.''
Grant Elliott top-scored for New Zealand with 71 batting at number three, with Kane Williamson absent from the innings after leaving the field following a blow to the hand. Anderson, who made 46, said Williamson was still being treated and his condition remained unclear.
