The Nigeria international says the only thing the Light Blues can now do is regroup and look to pick up results against FC Porto and Motherwell next week.
Rangers went behind after just six minutes at Tynecastle, conceding a Ryotaro Meshino strike, following a slow start from Steven Gerrard’s men.
Speaking to RangersTV Aribo said: “We’re frustrated, we wanted to go out there and get the points but unfortunately we weren’t able to do that.
“To go in at half-time at 1-1 after not playing so good that gave us a bit more confidence to say look where we are and we haven’t even played well.
“We had to go out there, keep playing and then try to get the goal but unfortunately we didn’t.”
Aribo was named in the starting XI on Sunday for first time since being forced off in September’s Betfred Cup win against Livingston, with a cut to his head.
The wound took time to heal and he returned to action over the international break with Nigeria, impressing with a goal against Brazil.
He continued: “I am just thankful to God that I am able to be playing again and I just want to keep performing and keep playing as well as I can.
Rangers now travel to Portugal in midweek for matchday three of the UEFA Europa League Group Stages.
The 23-year-old commented:
“I would say European football is more structured and it’s a bit different to what we have domestically.”