A second half penalty from Bernard Parker was enough to separate the two teams as Chiefs moved top of the PSL log with 27 points
AmaKhosi narrowly defeated Abafana Basthende at the Moses Mabhida Stadium, and Baxter admits that he was nervous toward the end of the game.
"We played some very good football at times, we created chances and at 1-0 we don’t put the game to bed," said Baxter after the game.
"So, late on in the game when Golden Arrows are gambling a little bit, one of those could go in. That is uncomfortable on the bench, but we will take the three points," he added.
The 60-year-old tactician wants his players to turn their dominance of possession into goals, but most importantly demands composure in front of goal.
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"We moved the ball around really well, but sometimes our first pass on the transition was not accurate enough and we have to improve on that.
"If the players showed more composure in front of goal it would have been a much easier evening," he said.
Baxter also expressed his delight at registering five wins in a row, and he believes that beating Arrows in Durban could be a good omen especially because they failed to defeat them last season.
"All the players are happy, because it is the first time Chiefs have won five on the trot this century," said Baxter.
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He added: "We didn’t win here last year and we won the Championship. So, maybe it is a good omen."
Arrows coach Mark Harrison wasn't impressed at the referee's decision to award AmaKhosi a penalty immediately after the start of the second half.
"We have been done up again, we have been done up, the penalty decision was scandalous," said Harrison.