The capital side's form has suffered terribly during the absence of their internationals having lost seven straight games in the RaboDirect PRO12.
But Bradley will be able to call on a full complement of players for the clash with the Scarlets, who are likely to start Grand Slam winners George North and Jonathan Davies.
And while the internationals have taken time to readjust to Edinburgh's surroundings, Bradley is confident they can hit the ground running when they return to Murrayfield.
He said: "The lads were back today and they were all quality players. There's obvious competition for places that everybody can see now and there's a lot of reemphasising the key points in how we want to play the game, breaking that down into core structures.
"Sometimes you hear a Scotland rugby call and then an Edinburgh one but that's normal enough. "The lads got through the session well and it is great to have them back.
"The Scarlets had a good win away from home against Cardiff Blues last week and got a bonus point - they are playing very well. They have a very strong squad and they did not have Davies or North against Cardiff so we expect to see them at Murrayfield as Grand Slam winners,
"For starters we will have 9-10 Scottish internationals. All those boys will be playing because the following week will be a massive week for both clubs. There's a lot to play for."
Fans were allowed to get up close and personal to Edinburgh's stars this week after the club organised an open training session - a move Bradley is hoping to see the benefits from.
He said: "It is great to have the fans here. From a team point of view, they help us a lot at Murrayfield and have got us over the line on a couple of occasions in the RaboPRO12.
"They are really important to us and it is a good opportunity for time to come down and watch the players train."
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