Burnley saw just 38% of the ball in the first half, but Dyche was ultimately happy to come away from Turkey with it all still to play for ahead of next week's return leg at Turf Moor.
"I think overall, one of the more pleasing things is we had to bolt together a team and come somewhere like this where we've never been before and find a way of getting a result," he told reporters.
"You know, it's tough coming to a place like this, it's new to these lads, and we've come with 17 players - that's our lot. So I'm really pleased, certainly with the shape and attitude, on a heavy, leg-sapping, old-fashioned pitch."
Asked about his side's lack of time on the ball, Dyche replied: "It's normal for us away in the Premier League, we often don't dominate the ball, especially away.
"Most clubs don't statistically dominate the ball away from home in the Premier League, so the basics, the shape, the energy, the will, is very important. We've had 10 years of everyone saying possession wins - it doesn't, as the World Cup showed. It's less relevant now."
Thursday's match was Burnley's first competitive continental outing away from home in 51 years, having been drawn against Scotland's Aberdeen in the previous round.