If a fielder takes a catch and the ball touches the ground (ball is in hand only, but it’s touching the ground at the same time), is it considered as out?
If the condition is like this, A part of the ball is touching the ground when the catch is taken by the fielder,then the batsmen will not be given out. For a clean catch the no part of the ball should touch the ground .
Let's take a look at the laws of cricket.
Law 32 - 1 : Out Caught
The above law (my emphasis) states that the ball must be held as a fair catch before it touches the ground.
If we now look at...
Law 32 - 3 : A fair catch
In summary, the ball must be under complete control of the fielder before it touches the ground for it to be a fair catch.
In your question scenario, the ball is in the hand but touching the ground at the same time. In this situation, the umpire would decide which contact occurred first. (It could be a fraction of a second technically).
In the applicance of this law, I have rarely seen a ball caught at exactly the same time as it touched the ground (for one would generally have the hand under the ball to catch it). In my experience the umpire would call not out as it is unlikely that the fielder would have complete control over the ball and his movement in such a scenario.
View the laws here.
No, it is not considered as out as, for a clean catch, no part of the ball must be touching the ground at the moment the catch is taken.