Are GOOD OMENS permitted?

Praise be to Allah, the Lord of the Worlds; and blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
Yes, the Fal (good omen) is permissible and desirable. The Prophet said: "There is no 'Adwa (no contagious disease is conveyed without Allah' s permission), nor is there any bad omen (from birds), but I like the Fal. They said: what is the Fal? The Prophet said: The good word."
It is narrated in Sahih Bukhari on the authority of Abu Hurairah he said: "I heard Allah's Apostle Saying, "There is no Tiyarah, and the best omen is the Fal." They asked, "what is the Fal?" He said, "A good word that one of you hears (and takes as a good omen)."
Since it is permissible in Shariah, it is naturally beloved also. Imam Ibn Hajar quoted in his book "Fath-ul-Bari from Ibn Batttal that he said: 'Allah has created in the nature of human beings the inclination to the good words and the feeling of satisfaction with them in the same manner that He made them feel pleasure when seeing scenery and clear water'. Anas said: "The Prophet used to be pleased to hear "O Rashid!" (Who follows the right path) "O Nujaih!" (The right), when he went out for his necessities".
It is reported In Sunan Abudawood from Buraidah that The Prophet did not use to see an evil omen in any thing. When he sent a working man he used to ask his name, if he liked it he used to become happy; if he did not like it, we could noticed that in his face.
The Prophet used to like the Fal and dislike the bad omen. In fact, the bad omen is a sort of mistrust in Allah; while the good omen is good faith in Allah. Therefore, a Muslim is commanded to have good faith in Allah under any circumstances.

Allah knows best.