Ally McCoist's men have managed only to draw their first two Third Division matches on the road this season by sharing the spoils at both Peterhead and Berwick Rangers.
However, the Light Blues have taken maximum points from their two home league matches in convincing fashion by defeating both East Stirling and Elgin City by a 5-1 scoreline at Ibrox.
"We haven't performed to the level we would have expected in our two league matches away from home so hopefully we can put that right this weekend," said McCulloch.
"It will obviously be difficult at some of the away grounds this season but it's just a case of rolling up the sleeves and making sure we put enough into the game to merit coming away with all three points.
"We have managed to travel to both Brechin City and Falkirk in the cup competitions and won and now we want to do the same in the league. However, we also know we must perform well as a team for that to happen.
"I've said it many times this season and I'll repeat, we give every opposition team the same respect we gave teams in the SPL. We do our homework, we prepare for the game in exactly the same manner and we are remaining as professional as ever.
"All the boys are now looking forward to travelling to Annan and hopefully returning with all three points to show for our efforts."
Rangers have moved to clarify confusion surrounding reports that 17-year-old Barrie McKay had signed a new five-year contract.
SFA rules states that the registration of a player under the age of 18 cannot exceed three years.
Rangers claim they were aware of the ruling and say McKay has "pledged" his future for five years.
A statement from the club read: "The club can confirm it has agreed a long-term contract with Barrie McKay.
"Reports in today's press suggested the SFA would reject McKay's five-year deal as rules prevent players under the age of 18 from signing a contract of that length.
"For the avoidance of doubt, the club is well aware of the rule and at no time confirmed Barrie had signed a five-year contract. Barrie has pledged his future to Rangers for the next five years – as stated on the Rangers website on Tuesday evening."