It took his tally for the season to ten tries in all competitions and helped ensure Connacht returned to the top of the GUINNESS PRO12 table after Leinster had replaced them for a couple of hours.
Healy's form has led to talk of a call-up to the Ireland squad but the 26-year-old is only focussed on his club form.
Speaking before Ireland head coach Joe Schmidt announced his latest extended Ireland squad, which did not include Healy, the 26-year-old told the Irish Independent: "I have heard [people talking about an international call-up] yes. I have been asked the same question a little bit.
"But the answer I always give, and it's the honest answer: I have to focus on my own performance.
"Consistency is key. I made a lot of mistakes [against Zebre] so I have got things to work on. Three tries might look good but there are a few blemishes."
Connacht secured a bonus-point victory over Zebre at the weekend but head coach Pat Lam also believes there are areas his troops need to work on.
Lam added: "Everyone wanted the outcome which was five points, but certainly there was a lot of lessons and work-ons for us. But we'll say this: no one comes here and puts 50 points on those boys.
"We are not getting carried away. Although we have stayed in the top four right through the season, we realise that doesn't count for anything come May 7. There is a long way to go between now and then."
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