Bradley succeeded Francesco Guidolin as Swansea boss last week with the club only outside the relegation places on goal difference.
The Premier League’s first American manager could not have asked for a tougher baptism on Saturday with Arsenal having won seven of their last eight games in all competitions.
Taylor has had to wait to meet Bradley as he has been away on international duty with Wales, but the left-back admits positive reports have been reaching him from the Swansea training ground.
“He strives to get the best out of players is the word coming out, and the lads have said training has been really good,” Taylor said.
“He looks a really exciting manager. He looks up for it and backs his ability as a manager.
“Hopefully from here onwards we can pick up results because that is what matters in the Premier League.
“He looks very motivated and that is great for the players.
“We can feed off him and we need to use that to pick up results, that is obvious now.”
Guidolin paid the price for only one win league win all season – on the opening day of the season at Burnley – while the Italian’s limited English meant his communication skills also came under scrutiny.
Taylor fell out of favour under Guidolin, starting only one Premier League game this term in which he was substituted before half-time, but he does not see Bradley’s appointment as a new beginning for him.
“I will just go back and work the same way I was working under the old manager, that is the way I do things,” Taylor said.
“It makes no difference to me, but obviously there will be different ideas.
“There are ups and downs for every footballer, you just stay on a level playing field whether you are up or down.
“You keep working the same way, things come back around – that is the way football is.”